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225166684068 = 223219993312841
BaseRepresentation
bin1101000110110011111…
…0101110111110100100
3210112012020211200212100
43101230332232332210
512142120132342233
6251235023252100
722160561143524
oct3215476567644
9715166750770
10225166684068
11875467a5457
123777ba4a030
1318305246601
14ac80657684
155cccabe813
hex346cfaefa4

225166684068 has 36 divisors (see below), whose sum is σ = 569201628268. Its totient is φ = 75051567360.

The previous prime is 225166684027. The next prime is 225166684079. The reversal of 225166684068 is 860486661522.

225166684068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40904253504 + 184262430564 = 202248^2 + 429258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2251666840682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 563328 + ... + 876168.

Almost surely, 2225166684068 is an apocalyptic number.

It is an amenable number.

225166684068 is an abundant number, since it is smaller than the sum of its proper divisors (344034944200).

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

225166684068 is a wasteful number, since it uses less digits than its factorization.

225166684068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332844 (or 332839 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 225166684068 in words is "two hundred twenty-five billion, one hundred sixty-six million, six hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 19993 39986 59979 79972 119958 179937 239916 312841 359874 625682 719748 938523 1251364 1877046 2815569 3754092 5631138 11262276 6254630113 12509260226 18763890339 25018520452 37527780678 56291671017 75055561356 112583342034 225166684068