Search a number
-
+
2114264512 = 262310114221
BaseRepresentation
bin111111000000101…
…0001110111000000
312110100100202200001
41332001101313000
513312222431022
6545444005344
7103251644323
oct17601216700
95410322601
102114264512
119954a1248
124b0090854
132790437b9
14160b207ba
15c5933b27
hex7e051dc0

2114264512 has 56 divisors (see below), whose sum is σ = 4421562912. Its totient is φ = 1001088000.

The previous prime is 2114264461. The next prime is 2114264527. The reversal of 2114264512 is 2154624112.

It is a super-2 number, since 2×21142645122 = 8940228853405196288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141562 + ... + 155782.

Almost surely, 22114264512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210781456).

2114264512 is an abundant number, since it is smaller than the sum of its proper divisors (2307298400).

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

2114264512 is a wasteful number, since it uses less digits than its factorization.

2114264512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14357 (or 14347 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2114264512 is about 45981.1321304728. The cubic root of 2114264512 is about 1283.4721224984.

Adding to 2114264512 its reverse (2154624112), we get a palindrome (4268888624).

The spelling of 2114264512 in words is "two billion, one hundred fourteen million, two hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 184 202 368 404 736 808 1472 1616 2323 3232 4646 6464 9292 14221 18584 28442 37168 56884 74336 113768 148672 227536 327083 455072 654166 910144 1308332 1436321 2616664 2872642 5233328 5745284 10466656 11490568 20933312 22981136 33035383 45962272 66070766 91924544 132141532 264283064 528566128 1057132256 2114264512