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2114334112 = 25116006631
BaseRepresentation
bin111111000000110…
…0010110110100000
312110100111022010211
41332001202312200
513312232142422
6545445303504
7103252354252
oct17601426640
95410438124
102114334112
11995539570
124b0104b94
13279069397
14160b3bcd2
15c5949577
hex7e062da0

2114334112 has 24 divisors (see below), whose sum is σ = 4541013792. Its totient is φ = 961060800.

The previous prime is 2114334109. The next prime is 2114334127.

2114334112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3002964 + ... + 3003667.

It is an arithmetic number, because the mean of its divisors is an integer number (189208908).

Almost surely, 22114334112 is an apocalyptic number.

2114334112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2114334112 is an abundant number, since it is smaller than the sum of its proper divisors (2426679680).

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

2114334112 is a wasteful number, since it uses less digits than its factorization.

2114334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6006652 (or 6006644 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2114334112 is about 45981.8889564141. Note that the first 3 decimals coincide. The cubic root of 2114334112 is about 1283.4862059900.

It can be divided in two parts, 21143 and 34112, that added together give a palindrome (55255).

The spelling of 2114334112 in words is "two billion, one hundred fourteen million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6006631 12013262 24026524 48053048 66072941 96106096 132145882 192212192 264291764 528583528 1057167056 2114334112