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631225980 = 22335711171947
BaseRepresentation
bin100101100111111…
…011111001111100
31121222202121021000
4211213323321330
52243043212410
6142345210300
721433221660
oct4547737174
91558677230
10631225980
112a4346470
12157490990
13a0a0c8c8
145db948a0
153a639dc0
hex259fbe7c

631225980 has 768 divisors, whose sum is σ = 2786918400. Its totient is φ = 114462720.

The previous prime is 631225951. The next prime is 631226009. The reversal of 631225980 is 89522136.

631225980 is a `hidden beast` number, since 63 + 1 + 2 + 2 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (631225951) and next prime (631226009).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13430317 + ... + 13430363.

It is an arithmetic number, because the mean of its divisors is an integer number (3628800).

Almost surely, 2631225980 is an apocalyptic number.

631225980 is a gapful number since it is divisible by the number (60) 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 631225980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

631225980 is an abundant number, since it is smaller than the sum of its proper divisors (2155692420).

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

631225980 is a wasteful number, since it uses less digits than its factorization.

631225980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 631225980 is about 25124.2110323887. The cubic root of 631225980 is about 857.8176051235.

The spelling of 631225980 in words is "six hundred thirty-one million, two hundred twenty-five thousand, nine hundred eighty".