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22222642002 = 23113717950839
BaseRepresentation
bin10100101100100100…
…101001101101010010
32010100201211011212220
4110230210221231102
5331002444021002
614113044201510
71414461224511
oct245444515522
963321734786
1022222642002
119474113940
124382399296
132132006112
14110b578678
158a0e5b7bc
hex52c929b52

22222642002 has 64 divisors (see below), whose sum is σ = 50075366400. Its totient is φ = 6515398080.

The previous prime is 22222641997. The next prime is 22222642061. The reversal of 22222642002 is 20024622222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411699 + ... + 462537.

It is an arithmetic number, because the mean of its divisors is an integer number (782427600).

Almost surely, 222222642002 is an apocalyptic number.

22222642002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222642002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25037683200).

22222642002 is an abundant number, since it is smaller than the sum of its proper divisors (27852724398).

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

22222642002 is a wasteful number, since it uses less digits than its factorization.

22222642002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51071.

The product of its (nonzero) digits is 3072, while the sum is 24.

The spelling of 22222642002 in words is "twenty-two billion, two hundred twenty-two million, six hundred forty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 179 222 358 407 537 814 1074 1221 1969 2442 3938 5907 6623 11814 13246 19869 39738 50839 72853 101678 145706 152517 218559 305034 437118 559229 1118458 1677687 1881043 3355374 3762086 5643129 9100181 11286258 18200362 20691473 27300543 41382946 54601086 62074419 100101991 124148838 200203982 300305973 336706697 600611946 673413394 1010120091 2020240182 3703773667 7407547334 11111321001 22222642002