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2242868064 = 25323363209
BaseRepresentation
bin1000010110101111…
…0111001101100000
312210022100111120120
42011223313031200
514043133234224
61010320240240
7106403030643
oct20553671540
95708314516
102242868064
11a51049a78
12527170080
13299890788
14173c39a5a
15d1d88779
hex85af7360

2242868064 has 24 divisors (see below), whose sum is σ = 5887528920. Its totient is φ = 747622656.

The previous prime is 2242868063. The next prime is 2242868077. The reversal of 2242868064 is 4608682422.

2242868064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×22428680642 = 10060914305022216192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242868063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11681509 + ... + 11681700.

It is an arithmetic number, because the mean of its divisors is an integer number (245313705).

Almost surely, 22242868064 is an apocalyptic number.

2242868064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2242868064 is an abundant number, since it is smaller than the sum of its proper divisors (3644660856).

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

2242868064 is a wasteful number, since it uses less digits than its factorization.

2242868064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23363222 (or 23363214 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2242868064 is about 47358.9280284088. The cubic root of 2242868064 is about 1308.9847161193.

The spelling of 2242868064 in words is "two billion, two hundred forty-two million, eight hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23363209 46726418 70089627 93452836 140179254 186905672 280358508 373811344 560717016 747622688 1121434032 2242868064