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57200909220 = 2232571331127887
BaseRepresentation
bin110101010001011100…
…001001101110100100
312110122102121021001100
4311101130021232210
51414121413043340
642135554000100
74063330464120
oct652134115644
9173572537040
1057200909220
11222934707a4
12b104576030
13551788aa60
142aa8c28580
15174bb47830
hexd51709ba4

57200909220 has 576 divisors, whose sum is σ = 222424989696. Its totient is φ = 11574420480.

The previous prime is 57200909197. The next prime is 57200909221. The reversal of 57200909220 is 2290900275.

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 (57200909221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64487617 + ... + 64488503.

It is an arithmetic number, because the mean of its divisors is an integer number (386154496).

Almost surely, 257200909220 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 57200909220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111212494848).

57200909220 is an abundant number, since it is smaller than the sum of its proper divisors (165224080476).

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

57200909220 is a wasteful number, since it uses less digits than its factorization.

57200909220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 57200909220 in words is "fifty-seven billion, two hundred million, nine hundred nine thousand, two hundred twenty".