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252238860 = 22355174371
BaseRepresentation
bin11110000100011…
…01110000001100
3122120122001200000
433002031300030
51004033120420
641010204300
76151665156
oct1702156014
9576561600
10252238860
1111a422875
1270583690
1340347783
14256ddad6
1517227690
hexf08dc0c

252238860 has 288 divisors, whose sum is σ = 871782912. Its totient is φ = 60963840.

The previous prime is 252238859. The next prime is 252238867. The reversal of 252238860 is 68832252.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252238867) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3552625 + ... + 3552695.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2252238860 is an apocalyptic number.

252238860 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 252238860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).

252238860 is an abundant number, since it is smaller than the sum of its proper divisors (619544052).

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

252238860 is a wasteful number, since it uses less digits than its factorization.

252238860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 252238860 is about 15882.0294672942. The cubic root of 252238860 is about 631.8354636306.

The spelling of 252238860 in words is "two hundred fifty-two million, two hundred thirty-eight thousand, eight hundred sixty".