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214653153 = 31121323499
BaseRepresentation
bin11001100101101…
…01100011100001
3112221220111202210
430302311203201
5414422400103
633144432333
75214343641
oct1462654341
9487814683
10214653153
11100191100
125ba786a9
1335617b00
1420718521
1513ca0e03
hexccb58e1

214653153 has 36 divisors (see below), whose sum is σ = 340746000. Its totient is φ = 120051360.

The previous prime is 214653139. The next prime is 214653211. The reversal of 214653153 is 351356412.

214653153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-214653153 is a prime.

It is a cake number, because a cake can be divided into 214653153 parts by 1088 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 214653153.

It is not an unprimeable number, because it can be changed into a prime (214653053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59598 + ... + 63096.

Almost surely, 2214653153 is an apocalyptic number.

It is an amenable number.

214653153 is a deficient number, since it is larger than the sum of its proper divisors (126092847).

214653153 is a wasteful number, since it uses less digits than its factorization.

214653153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3526 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 214653153 is about 14651.0461401226. The cubic root of 214653153 is about 598.7503184114.

The spelling of 214653153 in words is "two hundred fourteen million, six hundred fifty-three thousand, one hundred fifty-three".

Divisors: 1 3 11 13 33 39 121 143 169 363 429 507 1573 1859 3499 4719 5577 10497 20449 38489 45487 61347 115467 136461 423379 500357 591331 1270137 1501071 1773993 5503927 6504641 16511781 19513923 71551051 214653153