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214840960 = 275335689
BaseRepresentation
bin11001100111000…
…11011010000000
3112222021001101121
430303203122000
5414444402320
633152442024
75216055325
oct1463433200
9488231347
10214840960
111002aa214
125bb49314
1335682439
1420766b4c
1513cdb8aa
hexcce3680

214840960 has 32 divisors (see below), whose sum is σ = 513605700. Its totient is φ = 85936128.

The previous prime is 214840939. The next prime is 214841017. The reversal of 214840960 is 69048412.

It can be written as a sum of positive squares in 2 ways, for example, as 200279104 + 14561856 = 14152^2 + 3816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167205 + ... + 168484.

Almost surely, 2214840960 is an apocalyptic number.

214840960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214840960 is an abundant number, since it is smaller than the sum of its proper divisors (298764740).

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

214840960 is an equidigital number, since it uses as much as digits as its factorization.

214840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335708 (or 335696 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 214840960 is about 14657.4540763395. The cubic root of 214840960 is about 598.9248895279.

The spelling of 214840960 in words is "two hundred fourteen million, eight hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 335689 671378 1342756 1678445 2685512 3356890 5371024 6713780 10742048 13427560 21484096 26855120 42968192 53710240 107420480 214840960