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232213202212212 = 2232138925951214831
BaseRepresentation
bin110100110011001001011001…
…011011100001010101110100
31010110012100212022202012222200
4310303021121123201111310
5220414040114231242322
62141513134501024500
766624564424303524
oct6463113133412564
91113170768665880
10232213202212212
1167a9907a954871
12220645836b5130
139c757c3503540
14414b2710a7684
151bca5e93618ac
hexd332596e1574

232213202212212 has 144 divisors (see below), whose sum is σ = 639266198538240. Its totient is φ = 70644353472000.

The previous prime is 232213202212139. The next prime is 232213202212217. The reversal of 232213202212212 is 212212202312232.

232213202212212 is a `hidden beast` number, since 2 + 3 + 2 + 213 + 2 + 0 + 221 + 221 + 2 = 666.

232213202212212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213202212217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080803637 + ... + 1081018467.

It is an arithmetic number, because the mean of its divisors is an integer number (4439348600960).

Almost surely, 2232213202212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232213202212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319633099269120).

232213202212212 is an abundant number, since it is smaller than the sum of its proper divisors (407052996326028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232213202212212 is a wasteful number, since it uses less digits than its factorization.

232213202212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240894 (or 240889 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 232213202212212 its reverse (212212202312232), we get a palindrome (444425404524444).

The spelling of 232213202212212 in words is "two hundred thirty-two trillion, two hundred thirteen billion, two hundred two million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20826 25951 41652 51902 77853 103804 155706 214831 233559 311412 337363 429662 467118 644493 674726 859324 934236 1012089 1288986 1349452 1933479 2024178 2309639 2577972 2792803 3036267 3866958 4048356 4619278 5585606 6072534 6928917 7733916 8378409 9238556 11171212 12145068 13857834 16756818 19119959 20786751 25135227 27715668 30025307 33513636 38239918 41573502 50270454 57359877 60050614 76479836 83147004 90075921 100540908 114719754 120101228 172079631 180151842 229439508 248559467 270227763 344159262 360303684 497118934 540455526 688318524 745678401 994237868 1080911052 1491356802 2237035203 2982713604 4474070406 5575079281 8948140812 11150158562 16725237843 22300317124 33450475686 50175713529 66900951372 72476030653 100351427058 144952061306 200702854116 217428091959 289904122612 434856183918 496182056009 652284275877 869712367836 992364112018 1304568551754 1488546168027 1984728224036 2609137103508 2977092336054 4465638504081 5954184672108 6450366728117 8931277008162 12900733456234 17862554016324 19351100184351 25801466912468 38702200368702 58053300553053 77404400737404 116106601106106 232213202212212