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214150512 = 2431572181
BaseRepresentation
bin11001100001110…
…10110101110000
3112220221222021110
430300322311300
5414310304022
633125553320
75210151342
oct1460726560
9486858243
10214150512
11aa9784a4
125b875840
13354a00a4
1420627292
1513c0200c
hexcc3ad70

214150512 has 60 divisors (see below), whose sum is σ = 559844376. Its totient is φ = 70536960.

The previous prime is 214150499. The next prime is 214150543. The reversal of 214150512 is 215051412.

214150512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1183062 + ... + 1183242.

Almost surely, 2214150512 is an apocalyptic number.

It is an amenable number.

214150512 is an abundant number, since it is smaller than the sum of its proper divisors (345693864).

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

214150512 is a wasteful number, since it uses less digits than its factorization.

214150512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 214150512 is about 14633.8823283502. The cubic root of 214150512 is about 598.2826000302.

The spelling of 214150512 in words is "two hundred fourteen million, one hundred fifty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 181 314 362 471 543 628 724 942 1086 1256 1448 1884 2172 2512 2896 3768 4344 7536 8688 24649 28417 49298 56834 73947 85251 98596 113668 147894 170502 197192 227336 295788 341004 394384 454672 591576 682008 1183152 1364016 4461469 8922938 13384407 17845876 26768814 35691752 53537628 71383504 107075256 214150512