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227262032928 = 25327240132
BaseRepresentation
bin1101001110100111011…
…1110110110000100000
3210201121021121110010200
43103221313312300200
512210413040023203
6252222554025200
722263523256400
oct3235167666040
9721537543120
10227262032928
1188421547027
1238065718200
131857a3963c8
14addca52800
155da1a189a3
hex34e9df6c20

227262032928 has 162 divisors, whose sum is σ = 751978306989. Its totient is φ = 64915828992.

The previous prime is 227262032891. The next prime is 227262032939. The reversal of 227262032928 is 829230262722.

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 197231915664 + 30030117264 = 444108^2 + 173292^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337092.

It is a super-2 number, since 2×2272620329282 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56629450 + ... + 56633462.

Almost surely, 2227262032928 is an apocalyptic number.

227262032928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227262032928

227262032928 is an abundant number, since it is smaller than the sum of its proper divisors (524716274061).

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

227262032928 is an frugal number, since it uses more digits than its factorization.

227262032928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8056 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 227262032928 in words is "two hundred twenty-seven billion, two hundred sixty-two million, thirty-two thousand, nine hundred twenty-eight".