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252274231000 = 235311214291459
BaseRepresentation
bin1110101011110010110…
…1110100011011011000
3220010011102110202120001
43222330231310123120
513113124200343000
6311520532142344
724140406403561
oct3527455643330
9803142422501
10252274231000
1197a97254700
1240a861679b4
131aa352b0acc
14c2d2893168
1568677ea46a
hex3abcb746d8

252274231000 has 192 divisors, whose sum is σ = 649765116000. Its totient is φ = 91609056000.

The previous prime is 252274230997. The next prime is 252274231019. The reversal of 252274231000 is 132472252.

It is a super-2 number, since 2×2522742310002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252274231000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172908271 + ... + 172909729.

Almost surely, 2252274231000 is an apocalyptic number.

252274231000 is a gapful number since it is divisible by the number (20) 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 252274231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324882558000).

252274231000 is an abundant number, since it is smaller than the sum of its proper divisors (397490885000).

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

252274231000 is a wasteful number, since it uses less digits than its factorization.

252274231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 252274231000 in words is "two hundred fifty-two billion, two hundred seventy-four million, two hundred thirty-one thousand".