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223131031312230 = 2325179105131317461
BaseRepresentation
bin110010101110111110111101…
…110111000001011101100110
31002021001010012012220011201100
4302232332331313001131212
5213221234323003442410
62110320551454540530
764666453651354206
oct6256767567013546
91067033165804640
10223131031312230
1165107380186348
1221038356b07746
139767220828852
143d158571c2406
151abe23bce68c0
hexcaefbddc1766

223131031312230 has 96 divisors (see below), whose sum is σ = 583437625112160. Its totient is φ = 59163524029440.

The previous prime is 223131031312199. The next prime is 223131031312249. The reversal of 223131031312230 is 32213130131322.

223131031312230 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 310 + 3 + 1 + 312 + 2 + 30 = 666.

It is a super-3 number, since 3×2231310313122303 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223131031312194 and 223131031312203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168705700 + ... + 170023160.

It is an arithmetic number, because the mean of its divisors is an integer number (6077475261585).

Almost surely, 2223131031312230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223131031312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291718812556080).

223131031312230 is an abundant number, since it is smaller than the sum of its proper divisors (360306593799930).

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

223131031312230 is a wasteful number, since it uses less digits than its factorization.

223131031312230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328166 (or 1328163 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223131031312230 its reverse (32213130131322), we get a palindrome (255344161443552).

The spelling of 223131031312230 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, thirty-one million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 10513 16110 21026 31539 52565 63078 94617 105130 157695 189234 315390 473085 946170 1317461 1881827 2634922 3763654 3952383 5645481 6587305 7904766 9409135 11290962 11857149 13174610 16936443 18818270 19761915 23714298 28227405 33872886 39523830 56454810 59285745 84682215 118571490 169364430 235825519 471651038 707476557 1179127595 1414953114 2122429671 2358255190 3537382785 4244859342 7074765570 10612148355 13850467493 21224296710 27700934986 41551402479 69252337465 83102804958 124654207437 138504674930 207757012395 249308414874 415514024790 623271037185 1246542074370 2479233681247 4958467362494 7437701043741 12396168406235 14875402087482 22313103131223 24792336812470 37188505218705 44626206262446 74377010437410 111565515656115 223131031312230