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212233313040 = 24357612070973
BaseRepresentation
bin1100010110101000010…
…1110101101100010000
3202021210220102101011120
43011222011311230100
511434123212004130
6241255412242240
721222224252460
oct3055205655420
9667726371146
10212233313040
118200a199371
1235170610380
1317023902c48
14a3b4ab3ba0
1557c242e910
hex316a175b10

212233313040 has 160 divisors (see below), whose sum is σ = 764239109376. Its totient is φ = 47715194880.

The previous prime is 212233313021. The next prime is 212233313069. The reversal of 212233313040 is 40313332212.

212233313040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212233313040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933007 + ... + 1137966.

Almost surely, 2212233313040 is an apocalyptic number.

212233313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212233313040 is an abundant number, since it is smaller than the sum of its proper divisors (552005796336).

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

212233313040 is a wasteful number, since it uses less digits than its factorization.

212233313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071057 (or 2071051 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212233313040 its reverse (40313332212), we get a palindrome (252546645252).

The spelling of 212233313040 in words is "two hundred twelve billion, two hundred thirty-three million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480 2070973 4141946 6212919 8283892 10354865 12425838 14496811 16567784 20709730 24851676 28993622 31064595 33135568 41419460 43490433 49703352 57987244 62129190 72484055 82838920 86980866 99406704 115974488 124258380 126329353 144968110 165677840 173961732 217452165 231948976 248516760 252658706 289936220 347923464 378988059 434904330 497033520 505317412 579872440 631646765 695846928 757976118 869808660 884305471 1010634824 1159744880 1263293530 1515952236 1739617320 1768610942 1894940295 2021269648 2526587060 2652916413 3031904472 3479234640 3537221884 3789880590 4421527355 5053174120 5305832826 6063808944 7074443768 7579761180 8843054710 10106348240 10611665652 13264582065 14148887536 15159522360 17686109420 21223331304 26529164130 30319044720 35372218840 42446662608 53058328260 70744437680 106116656520 212233313040