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225746306312 = 2317329712
BaseRepresentation
bin1101001000111110000…
…1110100010100001000
3210120200122111120002212
43102033201310110020
512144312023300222
6251412330444252
722211126641352
oct3221741642410
9716618446085
10225746306312
11878139a51aa
1237901b93688
1318398358b57
14acd76180d2
155d139146e2
hex348f874508

225746306312 has 36 divisors (see below), whose sum is σ = 426174041085. Its totient is φ = 112105134880.

The previous prime is 225746306249. The next prime is 225746306321. The reversal of 225746306312 is 213603647522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 177589759396 + 48156546916 = 421414^2 + 219446^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335966.

It is a super-2 number, since 2×2257463063122 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225746306312.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232487987 + ... + 232488957.

Almost surely, 2225746306312 is an apocalyptic number.

It is an amenable number.

225746306312 is a deficient number, since it is larger than the sum of its proper divisors (200427734773).

225746306312 is an frugal number, since it uses more digits than its factorization.

225746306312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 225746306312 in words is "two hundred twenty-five billion, seven hundred forty-six million, three hundred six thousand, three hundred twelve".

Divisors: 1 2 4 8 173 346 692 971 1384 1942 3884 7768 29929 59858 119716 167983 239432 335966 671932 942841 1343864 1885682 3771364 7542728 29061059 58122118 116244236 163111493 232488472 326222986 652445972 1304891944 28218288289 56436576578 112873153156 225746306312