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214025904 = 24324136251
BaseRepresentation
bin11001100000111…
…00011010110000
3112220201122100100
430300130122300
5414242312104
633123152400
75206122141
oct1460343260
9486648310
10214025904
11aa8a2914
125b815700
1335458461
14205d3ac8
1513bca139
hexcc1c6b0

214025904 has 60 divisors (see below), whose sum is σ = 613601352. Its totient is φ = 69600000.

The previous prime is 214025897. The next prime is 214025909. The reversal of 214025904 is 409520412.

214025904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (214025909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12222 + ... + 24029.

Almost surely, 2214025904 is an apocalyptic number.

214025904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214025904 is an abundant number, since it is smaller than the sum of its proper divisors (399575448).

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

214025904 is a wasteful number, since it uses less digits than its factorization.

214025904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36306 (or 36297 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214025904 is about 14629.6241920290. The cubic root of 214025904 is about 598.1665363921.

The spelling of 214025904 in words is "two hundred fourteen million, twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 36251 72502 108753 145004 217506 290008 326259 435012 580016 652518 870024 1305036 1486291 1740048 2610072 2972582 4458873 5220144 5945164 8917746 11890328 13376619 17835492 23780656 26753238 35670984 53506476 71341968 107012952 214025904