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213025008 = 2437634003
BaseRepresentation
bin11001011001010…
…00000011110000
3112211211210101010
430230220003300
5414013300013
633045510520
75164453110
oct1454500360
9484753333
10213025008
11aa279929
125b412440
1335197a01
1420413040
1513a7d7c3
hexcb280f0

213025008 has 40 divisors (see below), whose sum is σ = 628931968. Its totient is φ = 60864192.

The previous prime is 213024997. The next prime is 213025013. The reversal of 213025008 is 800520312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316666 + ... + 317337.

Almost surely, 2213025008 is an apocalyptic number.

213025008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213025008 is an abundant number, since it is smaller than the sum of its proper divisors (415906960).

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

213025008 is a wasteful number, since it uses less digits than its factorization.

213025008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634021 (or 634015 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 213025008 is about 14595.3762541430. The cubic root of 213025008 is about 597.2326335394.

The spelling of 213025008 in words is "two hundred thirteen million, twenty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 634003 1268006 1902009 2536012 3804018 4438021 5072024 7608036 8876042 10144048 13314063 15216072 17752084 26628126 30432144 35504168 53256252 71008336 106512504 213025008