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22102000002 = 23219315773613
BaseRepresentation
bin10100100101011000…
…011100000110000010
32010001022210221011200
4110211120130012002
5330231103000002
614053054322030
71411464620535
oct244530340602
963038727150
1022102000002
119412003805
124349ab9316
132113015c14
1410d9532a1c
1589557ab1c
hex52561c182

22102000002 has 96 divisors (see below), whose sum is σ = 52138744320. Its totient is φ = 6740858880.

The previous prime is 22101999973. The next prime is 22102000013. The reversal of 22102000002 is 20000020122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6115548 + ... + 6119160.

It is an arithmetic number, because the mean of its divisors is an integer number (543111920).

Almost surely, 222102000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26069372160).

22102000002 is an abundant number, since it is smaller than the sum of its proper divisors (30036744318).

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

22102000002 is a wasteful number, since it uses less digits than its factorization.

22102000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22102000002 its reverse (20000020122), we get a palindrome (42102020124).

The spelling of 22102000002 in words is "twenty-two billion, one hundred two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 577 589 1154 1178 1731 1767 3462 3534 3613 5193 5301 7226 10386 10602 10839 10963 17887 21678 21926 32517 32889 35774 53661 65034 65778 68647 98667 107322 112003 137294 160983 197334 205941 224006 321966 336009 339853 411882 617823 672018 679706 1008027 1019559 1235646 2016054 2039118 2084701 2128057 3058677 4169402 4256114 6117354 6254103 6384171 12508206 12768342 18762309 19152513 37524618 38305026 39609319 64625731 79218638 118827957 129251462 193877193 237655914 356483871 387754386 581631579 712967742 1163263158 1227888889 2455777778 3683666667 7367333334 11051000001 22102000002