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214755384 = 23357115671
BaseRepresentation
bin11001100110011…
…10100000111000
3112222002201000010
430303032200320
5414434133014
633150541520
75215250664
oct1463164070
9488081003
10214755384
11100250998
125bb078a0
13356524bc
14207438a4
1513cc1359
hexccce838

214755384 has 32 divisors (see below), whose sum is σ = 537863040. Its totient is φ = 71455200.

The previous prime is 214755337. The next prime is 214755389. The reversal of 214755384 is 483557412.

It is a super-2 number, since 2×2147553842 = 92239749913974912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214755389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5869 + ... + 21539.

It is an arithmetic number, because the mean of its divisors is an integer number (16808220).

Almost surely, 2214755384 is an apocalyptic number.

214755384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214755384 is an abundant number, since it is smaller than the sum of its proper divisors (323107656).

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

214755384 is a wasteful number, since it uses less digits than its factorization.

214755384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16251 (or 16247 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 214755384 is about 14654.5345883109. The cubic root of 214755384 is about 598.8453572031.

The spelling of 214755384 in words is "two hundred fourteen million, seven hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 571 1142 1713 2284 3426 4568 6852 13704 15671 31342 47013 62684 94026 125368 188052 376104 8948141 17896282 26844423 35792564 53688846 71585128 107377692 214755384