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632681220 = 223528433709
BaseRepresentation
bin100101101101011…
…111001100000100
31122002111112110210
4211231133030010
52243431244340
6142440315420
721451462443
oct4555371404
91562445423
10632681220
112a514a846
12157a72b70
13a10cc0b2
1460052d5a
153a826180
hex25b5f304

632681220 has 48 divisors (see below), whose sum is σ = 1772608320. Its totient is φ = 168610176.

The previous prime is 632681177. The next prime is 632681251. The reversal of 632681220 is 22186236.

632681220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6326812202 = 800571052281376800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168726 + ... + 172434.

It is an arithmetic number, because the mean of its divisors is an integer number (36929340).

Almost surely, 2632681220 is an apocalyptic number.

632681220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632681220 is an abundant number, since it is smaller than the sum of its proper divisors (1139927100).

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

632681220 is a wasteful number, since it uses less digits than its factorization.

632681220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 632681220 is about 25153.1552692699. The cubic root of 632681220 is about 858.4763086888.

The spelling of 632681220 in words is "six hundred thirty-two million, six hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2843 3709 5686 7418 8529 11127 11372 14215 14836 17058 18545 22254 28430 34116 37090 42645 44508 55635 56860 74180 85290 111270 170580 222540 10544687 21089374 31634061 42178748 52723435 63268122 105446870 126536244 158170305 210893740 316340610 632681220