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2264014632 = 2331117874799
BaseRepresentation
bin1000011011110010…
…0001111100101000
312211210010212012210
42012330201330220
514114041432012
61012353405120
7110050543515
oct20674417450
95753125183
102264014632
11a61a82780
125322697a0
132a1085a39
1417698230c
15d3b6423c
hex86f21f28

2264014632 has 64 divisors (see below), whose sum is σ = 6179328000. Its totient is φ = 685538240.

The previous prime is 2264014609. The next prime is 2264014639. The reversal of 2264014632 is 2364104622.

It is a self number, because there is not a number n which added to its sum of digits gives 2264014632.

It is not an unprimeable number, because it can be changed into a prime (2264014639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469369 + ... + 474167.

It is an arithmetic number, because the mean of its divisors is an integer number (96552000).

Almost surely, 22264014632 is an apocalyptic number.

2264014632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2264014632 is an abundant number, since it is smaller than the sum of its proper divisors (3915313368).

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

2264014632 is a wasteful number, since it uses less digits than its factorization.

2264014632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2264014632 is about 47581.6627704413. The cubic root of 2264014632 is about 1313.0857142365.

The spelling of 2264014632 in words is "two billion, two hundred sixty-four million, fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1787 3574 4799 5361 7148 9598 10722 14296 14397 19196 19657 21444 28794 38392 39314 42888 52789 57588 58971 78628 105578 115176 117942 157256 158367 211156 235884 316734 422312 471768 633468 1266936 8575813 17151626 25727439 34303252 51454878 68606504 94333943 102909756 188667886 205819512 283001829 377335772 566003658 754671544 1132007316 2264014632