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214374880 = 2551339843
BaseRepresentation
bin11001100011100…
…01100111100000
3112221101101001101
430301301213200
5414334444010
633134444144
75212104436
oct1461614740
9487341041
10214374880
11100011025
125b963654
133554b255
1420684d56
1513c4873a
hexcc719e0

214374880 has 24 divisors (see below), whose sum is σ = 506461032. Its totient is φ = 85749888.

The previous prime is 214374847. The next prime is 214374893. The reversal of 214374880 is 88473412.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 669762 + ... + 670081.

It is an arithmetic number, because the mean of its divisors is an integer number (21102543).

Almost surely, 2214374880 is an apocalyptic number.

214374880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214374880 is an abundant number, since it is smaller than the sum of its proper divisors (292086152).

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

214374880 is a wasteful number, since it uses less digits than its factorization.

214374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339858 (or 1339850 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 214374880 is about 14641.5463664191. The cubic root of 214374880 is about 598.4914696649.

The spelling of 214374880 in words is "two hundred fourteen million, three hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1339843 2679686 5359372 6699215 10718744 13398430 21437488 26796860 42874976 53593720 107187440 214374880