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214222904 = 23724371179
BaseRepresentation
bin11001100010011…
…00100000111000
3112221002122120122
430301030200320
5414320113104
633131312412
75210602400
oct1461144070
9487078518
10214222904
11aaa17925
125b8ab708
13354c701c
1420645800
1513c186be
hexcc4c838

214222904 has 96 divisors (see below), whose sum is σ = 487555200. Its totient is φ = 87917760.

The previous prime is 214222871. The next prime is 214222907. The reversal of 214222904 is 409222412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214222907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1196687 + ... + 1196865.

It is an arithmetic number, because the mean of its divisors is an integer number (5078700).

Almost surely, 2214222904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214222904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243777600).

214222904 is an abundant number, since it is smaller than the sum of its proper divisors (273332296).

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

214222904 is a wasteful number, since it uses less digits than its factorization.

214222904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 214222904 is about 14636.3555573100. The cubic root of 214222904 is about 598.3500074410.

The spelling of 214222904 in words is "two hundred fourteen million, two hundred twenty-two thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 43 49 56 71 86 98 142 172 179 196 284 301 344 358 392 497 568 602 716 994 1204 1253 1432 1988 2107 2408 2506 3053 3479 3976 4214 5012 6106 6958 7697 8428 8771 10024 12212 12709 13916 15394 16856 17542 21371 24424 25418 27832 30788 35084 42742 50836 53879 61576 70168 85484 88963 101672 107758 149597 170968 177926 215516 299194 355852 377153 431032 546487 598388 622741 711704 754306 1092974 1196776 1245482 1508612 2185948 2490964 3017224 3825409 4371896 4981928 7650818 15301636 26777863 30603272 53555726 107111452 214222904