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214959320 = 23514936067
BaseRepresentation
bin11001101000000…
…00010011011000
3112222111001202022
430310000103120
5420012144240
633155154012
75220060362
oct1464002330
9488431668
10214959320
11100380134
125bba5908
13356c4284
1420797d32
1513d119b5
hexcd004d8

214959320 has 32 divisors (see below), whose sum is σ = 486918000. Its totient is φ = 85404288.

The previous prime is 214959313. The next prime is 214959337. The reversal of 214959320 is 23959412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12074 + ... + 23993.

Almost surely, 2214959320 is an apocalyptic number.

214959320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214959320 is an abundant number, since it is smaller than the sum of its proper divisors (271958680).

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

214959320 is a wasteful number, since it uses less digits than its factorization.

214959320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36227 (or 36223 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 214959320 is about 14661.4910565058. The cubic root of 214959320 is about 599.0348557341.

The spelling of 214959320 in words is "two hundred fourteen million, nine hundred fifty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 36067 72134 144268 180335 288536 360670 721340 1442680 5373983 10747966 21495932 26869915 42991864 53739830 107479660 214959320