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225638809992 = 2332172372892
BaseRepresentation
bin1101001000100100011…
…1110000000110001000
3210120102011020011212200
43102021013300012020
512144102013404432
6251353530440200
722205353145121
oct3221107600610
9716364204780
10225638809992
1187769253672
1237891b93060
131837bcbc26b
14acc7235048
155d0927da7c
hex34891f0188

225638809992 has 324 divisors, whose sum is σ = 674766970605. Its totient is φ = 68101558272.

The previous prime is 225638809973. The next prime is 225638810063. The reversal of 225638809992 is 299908836522.

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 14 ways, for example, as 37305377316 + 188333432676 = 193146^2 + 433974^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335886.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2535267484 + ... + 2535267572.

Almost surely, 2225638809992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225638809992

225638809992 is an abundant number, since it is smaller than the sum of its proper divisors (449128160613).

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

225638809992 is a wasteful number, since it uses less digits than its factorization.

225638809992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 225638809992 in words is "two hundred twenty-five billion, six hundred thirty-eight million, eight hundred nine thousand, nine hundred ninety-two".