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2114402256 = 243214683349
BaseRepresentation
bin111111000000111…
…0011011111010000
312110100121202121200
41332001303133100
513312241333011
6545450551200
7103253060031
oct17601633720
95410552550
102114402256
1199558578a
124b0138500
132790913c5
14160b58a88
15c595e856
hex7e0737d0

2114402256 has 30 divisors (see below), whose sum is σ = 5917390050. Its totient is φ = 704800704.

The previous prime is 2114402243. The next prime is 2114402287. The reversal of 2114402256 is 6522044112.

2114402256 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 402 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1458017856 + 656384400 = 38184^2 + 25620^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7341531 + ... + 7341818.

It is an arithmetic number, because the mean of its divisors is an integer number (197246335).

Almost surely, 22114402256 is an apocalyptic number.

It is an amenable number.

2114402256 is an abundant number, since it is smaller than the sum of its proper divisors (3802987794).

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

2114402256 is a wasteful number, since it uses less digits than its factorization.

2114402256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14683363 (or 14683354 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2114402256 is about 45982.6299378363. The cubic root of 2114402256 is about 1283.4999945620.

Adding to 2114402256 its reverse (6522044112), we get a palindrome (8636446368).

The spelling of 2114402256 in words is "two billion, one hundred fourteen million, four hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14683349 29366698 44050047 58733396 88100094 117466792 132150141 176200188 234933584 264300282 352400376 528600564 704800752 1057201128 2114402256