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227252422656 = 21132721719241
BaseRepresentation
bin1101001110100101001…
…1001100100000000000
3210201120121112012022200
43103221103030200000
512210403110011111
6252222012033200
722263345502200
oct3235123144000
9721517465280
10227252422656
1188417082756
1238062462800
13185783b005c
14addb670400
155da0c6b256
hex34e94cc800

227252422656 has 1296 divisors, whose sum is σ = 874014998220. Its totient is φ = 56481546240.

The previous prime is 227252422633. The next prime is 227252422667. The reversal of 227252422656 is 656224252722.

227252422656 is a `hidden beast` number, since 2 + 2 + 72 + 524 + 2 + 2 + 6 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223176877056 + 4075545600 = 472416^2 + 63840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5542741996 + ... + 5542742036.

Almost surely, 2227252422656 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 227252422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437007499110).

227252422656 is an abundant number, since it is smaller than the sum of its proper divisors (646762575564).

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

227252422656 is a wasteful number, since it uses less digits than its factorization.

227252422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 227252422656 in words is "two hundred twenty-seven billion, two hundred fifty-two million, four hundred twenty-two thousand, six hundred fifty-six".