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2264740456 = 231153617787
BaseRepresentation
bin1000011011111101…
…0011001001101000
312211211111201212011
42012333103021220
514114233143311
61012421125304
7110056655566
oct20677231150
95754451764
102264740456
11a62429030
12532559834
132a127b214
14176ad0a36
15d3c59321
hex86fd3268

2264740456 has 64 divisors (see below), whose sum is σ = 4733484480. Its totient is φ = 1007086080.

The previous prime is 2264740337. The next prime is 2264740481. The reversal of 2264740456 is 6540474622.

2264740456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877295 + ... + 2878081.

It is an arithmetic number, because the mean of its divisors is an integer number (73960695).

Almost surely, 22264740456 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 2264740456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366742240).

2264740456 is an abundant number, since it is smaller than the sum of its proper divisors (2468744024).

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

2264740456 is a wasteful number, since it uses less digits than its factorization.

2264740456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 2264740456 is about 47589.2892991690. The cubic root of 2264740456 is about 1313.2260206464.

The spelling of 2264740456 in words is "two billion, two hundred sixty-four million, seven hundred forty thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 617 787 1166 1234 1574 2332 2468 3148 4664 4936 6296 6787 8657 13574 17314 27148 32701 34628 41711 54296 65402 69256 83422 130804 166844 261608 333688 359711 458821 485579 719422 917642 971158 1438844 1835284 1942316 2877688 3670568 3884632 5341369 10682738 21365476 25735687 42730952 51471374 102942748 205885496 283092557 566185114 1132370228 2264740456