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214946856 = 23322985373
BaseRepresentation
bin11001100111111…
…01010000101000
3112222110102122200
430303331100220
5420011244411
633155020200
75220006135
oct1463752050
9488412580
10214946856
11100371833
125bb9a660
13356bb6b7
142079358c
1513d0ce56
hexccfd428

214946856 has 24 divisors (see below), whose sum is σ = 582147930. Its totient is φ = 71648928.

The previous prime is 214946819. The next prime is 214946873. The reversal of 214946856 is 658649412.

214946856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 191268900 + 23677956 = 13830^2 + 4866^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1492615 + ... + 1492758.

Almost surely, 2214946856 is an apocalyptic number.

It is an amenable number.

214946856 is an abundant number, since it is smaller than the sum of its proper divisors (367201074).

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

214946856 is a wasteful number, since it uses less digits than its factorization.

214946856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985385 (or 2985378 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 214946856 is about 14661.0659912573. The cubic root of 214946856 is about 599.0232775515.

The spelling of 214946856 in words is "two hundred fourteen million, nine hundred forty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2985373 5970746 8956119 11941492 17912238 23882984 26868357 35824476 53736714 71648952 107473428 214946856