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200402242204002 = 236115532857123407
BaseRepresentation
bin101101100100001111001000…
…011101010111000101100010
3222021120021012211022012012220
4231210033020131113011202
5202231342243001012002
61550115304043531510
760132404244532446
oct5544171035270542
9867507184265186
10200402242204002
1158944128280803
121a587369529b96
1387a8b092b7647
14376b73d8cc826
151827dc773e7bc
hexb643c8757162

200402242204002 has 64 divisors (see below), whose sum is σ = 407783349195264. Its totient is φ = 65639829104640.

The previous prime is 200402242203949. The next prime is 200402242204009.

200402242204002 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2004022422040022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200402242204009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623851383 + ... + 1623974789.

It is an arithmetic number, because the mean of its divisors is an integer number (6371614831176).

Almost surely, 2200402242204002 is an apocalyptic number.

200402242204002 is an abundant number, since it is smaller than the sum of its proper divisors (207381106991262).

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

200402242204002 is a wasteful number, since it uses less digits than its factorization.

200402242204002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127883.

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 200402242204002 in words is "two hundred trillion, four hundred two billion, two hundred forty-two million, two hundred four thousand, two".

Divisors: 1 2 3 6 61 122 183 366 1553 2857 3106 4659 5714 8571 9318 17142 94733 123407 174277 189466 246814 284199 348554 370221 522831 568398 740442 1045662 4436921 7527827 8873842 13310763 15055654 22583481 26621526 45166962 191651071 270652181 352573799 383302142 541304362 574953213 705147598 811956543 1057721397 1149906426 1623913086 2115442794 11690715331 21507001739 23381430662 35072145993 43014003478 64521005217 70144291986 129042010434 547547109847 1095094219694 1642641329541 3285282659082 33400373700667 66800747401334 100201121102001 200402242204002