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2251241564 = 22111322313163
BaseRepresentation
bin1000011000101111…
…0011100001011100
312210220002220212012
42012023303201130
514102304212224
61011215530352
7106534144325
oct20613634134
95726086765
102251241564
11a55849120
12529b299b8
1329b532c00
14174db944c
15d298e80e
hex862f385c

2251241564 has 72 divisors (see below), whose sum is σ = 4856568192. Its totient is φ = 903439680.

The previous prime is 2251241557. The next prime is 2251241569. The reversal of 2251241564 is 4651421522.

It is a self number, because there is not a number n which added to its sum of digits gives 2251241564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251241569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164447 + ... + 177609.

It is an arithmetic number, because the mean of its divisors is an integer number (67452336).

Almost surely, 22251241564 is an apocalyptic number.

It is an amenable number.

2251241564 is an abundant number, since it is smaller than the sum of its proper divisors (2605326628).

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

2251241564 is a wasteful number, since it uses less digits than its factorization.

2251241564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13212 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 2251241564 is about 47447.2503312890. The cubic root of 2251241564 is about 1310.6116763533.

The spelling of 2251241564 in words is "two billion, two hundred fifty-one million, two hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 143 169 253 286 299 338 506 572 598 676 1012 1196 1859 3289 3718 3887 6578 7436 7774 13156 13163 15548 26326 42757 52652 85514 144793 171028 171119 289586 302749 342238 579172 605498 684476 1210996 1882309 2224547 3330239 3764618 3935737 4449094 6660478 7529236 7871474 8898188 13320956 15742948 24470017 43293107 48940034 51164581 86586214 97880068 102329162 173172428 204658324 562810391 1125620782 2251241564