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214437480 = 23351786979
BaseRepresentation
bin11001100100000…
…00111001101000
3112221111112220220
430302000321220
5414343444410
633140050040
75212455105
oct1462007150
9487445826
10214437480
11100054064
125b993920
13355708aa
142069daac
1513c5c070
hexcc80e68

214437480 has 32 divisors (see below), whose sum is σ = 643312800. Its totient is φ = 57183296.

The previous prime is 214437463. The next prime is 214437499. The reversal of 214437480 is 84734412.

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 7 ways as a sum of consecutive naturals, for example, 893370 + ... + 893609.

It is an arithmetic number, because the mean of its divisors is an integer number (20103525).

Almost surely, 2214437480 is an apocalyptic number.

214437480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214437480 is an abundant number, since it is smaller than the sum of its proper divisors (428875320).

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

214437480 is a wasteful number, since it uses less digits than its factorization.

214437480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786993 (or 1786989 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 214437480 is about 14643.6839627192. The cubic root of 214437480 is about 598.5497195242.

The spelling of 214437480 in words is "two hundred fourteen million, four hundred thirty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1786979 3573958 5360937 7147916 8934895 10721874 14295832 17869790 21443748 26804685 35739580 42887496 53609370 71479160 107218740 214437480