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2264231440 = 24560147093
BaseRepresentation
bin1000011011110101…
…0110111000010000
312211210112212121201
42012331112320100
514114120401230
61012402200544
7110052435562
oct20675267020
95753485551
102264231440
11a62110659
12532353154
132a1130623
141769db332
15d3ba85ca
hex86f56e10

2264231440 has 40 divisors (see below), whose sum is σ = 5273209368. Its totient is φ = 904166400.

The previous prime is 2264231429. The next prime is 2264231441. The reversal of 2264231440 is 441324622.

It can be written as a sum of positive squares in 4 ways, for example, as 1372850704 + 891380736 = 37052^2 + 29856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2264231399 and 2264231408.

It is not an unprimeable number, because it can be changed into a prime (2264231441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24534 + ... + 71626.

Almost surely, 22264231440 is an apocalyptic number.

2264231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264231440 is an abundant number, since it is smaller than the sum of its proper divisors (3008977928).

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

2264231440 is a wasteful number, since it uses less digits than its factorization.

2264231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47707 (or 47701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2264231440 is about 47583.9409885310. The cubic root of 2264231440 is about 1313.1276277466.

The spelling of 2264231440 in words is "two billion, two hundred sixty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 601 1202 2404 3005 4808 6010 9616 12020 24040 47093 48080 94186 188372 235465 376744 470930 753488 941860 1883720 3767440 28302893 56605786 113211572 141514465 226423144 283028930 452846288 566057860 1132115720 2264231440