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222002200021000 = 23537311023051613
BaseRepresentation
bin110010011110100011101010…
…010001011000100000001000
31002010001012111000200001122111
4302132203222101120200020
5213044241001201133000
62104054222554432104
764522062320612050
oct6236435221304010
91063035430601574
10222002200021000
1164811671365543
1220a9561b732634
1396b4943845049
143cb6d6c9b6560
151a9ebc0125cba
hexc9e8ea458808

222002200021000 has 128 divisors (see below), whose sum is σ = 612848838850560. Its totient is φ = 73659716064000.

The previous prime is 222002200020943. The next prime is 222002200021057. The reversal of 222002200021000 is 120002200222.

It is an interprime number because it is at equal distance from previous prime (222002200020943) and next prime (222002200021057).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511308807 + ... + 511742806.

It is an arithmetic number, because the mean of its divisors is an integer number (4787881553520).

Almost surely, 2222002200021000 is an apocalyptic number.

222002200021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002200021000 is an abundant number, since it is smaller than the sum of its proper divisors (390846638829560).

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

222002200021000 is a wasteful number, since it uses less digits than its factorization.

222002200021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023051672 (or 1023051658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 222002200021000 its reverse (120002200222), we get a palindrome (222122202221222).

The spelling of 222002200021000 in words is "two hundred twenty-two trillion, two billion, two hundred million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 125 140 155 175 200 217 248 250 280 310 350 434 500 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2170 3100 3500 3875 4340 5425 6200 7000 7750 8680 10850 15500 21700 27125 31000 43400 54250 108500 217000 1023051613 2046103226 4092206452 5115258065 7161361291 8184412904 10230516130 14322722582 20461032260 25576290325 28645445164 31714600003 35806806455 40922064520 51152580650 57290890328 63429200006 71613612910 102305161300 126858400012 127881451625 143227225820 158573000015 179034032275 204610322600 222002200021 253716800024 255762903250 286454451640 317146000030 358068064550 444004400042 511525806500 634292000060 716136129100 792865000075 888008800084 895170161375 1023051613000 1110011000105 1268584000120 1432272258200 1585730000150 1776017600168 1790340322750 2220022000210 3171460000300 3580680645500 3964325000375 4440044000420 5550055000525 6342920000600 7161361291000 7928650000750 8880088000840 11100110001050 15857300001500 22200220002100 27750275002625 31714600003000 44400440004200 55500550005250 111001100010500 222002200021000