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2244768008 = 237223932
BaseRepresentation
bin1000010111001100…
…0111000100001000
312210102221000210212
42011303013010020
514044130034013
61010425100252
7106425133100
oct20563070410
95712830725
102244768008
11a5212747a
12527927688
1329a0a74c2
141741b2200
15d21116a8
hex85cc7108

2244768008 has 36 divisors (see below), whose sum is σ = 4898160765. Its totient is φ = 961641408.

The previous prime is 2244767983. The next prime is 2244768013. The reversal of 2244768008 is 8008674422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1442632324 + 802135684 = 37982^2 + 28322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33502.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 936860 + ... + 939252.

Almost surely, 22244768008 is an apocalyptic number.

2244768008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2244768008 is an abundant number, since it is smaller than the sum of its proper divisors (2653392757).

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

2244768008 is an frugal number, since it uses more digits than its factorization.

2244768008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 2244768008 is about 47378.9827666234. The cubic root of 2244768008 is about 1309.3542274872.

The spelling of 2244768008 in words is "two billion, two hundred forty-four million, seven hundred sixty-eight thousand, eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2393 4786 9572 16751 19144 33502 67004 117257 134008 234514 469028 938056 5726449 11452898 22905796 40085143 45811592 80170286 160340572 280596001 320681144 561192002 1122384004 2244768008