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214837296 = 243172311447
BaseRepresentation
bin11001100111000…
…10100000110000
3112222020212100220
430303202200300
5414444243141
633152413040
75216041542
oct1463424060
9488225326
10214837296
111002a7493
125bb47180
133568087b
1420765692
1513cda766
hexcce2830

214837296 has 80 divisors (see below), whose sum is σ = 613246464. Its totient is φ = 64463872.

The previous prime is 214837277. The next prime is 214837333. The reversal of 214837296 is 692738412.

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 15 ways as a sum of consecutive naturals, for example, 13045 + ... + 24491.

Almost surely, 2214837296 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 214837296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306623232).

214837296 is an abundant number, since it is smaller than the sum of its proper divisors (398409168).

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

214837296 is a wasteful number, since it uses less digits than its factorization.

214837296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11498 (or 11492 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 214837296 is about 14657.3290882070. The cubic root of 214837296 is about 598.9214847252.

The spelling of 214837296 in words is "two hundred fourteen million, eight hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 11447 18768 22894 34341 45788 68682 91576 137364 183152 194599 263281 274728 389198 526562 549456 583797 778396 789843 1053124 1167594 1556792 1579686 2106248 2335188 3113584 3159372 4212496 4475777 4670376 6318744 8951554 9340752 12637488 13427331 17903108 26854662 35806216 53709324 71612432 107418648 214837296