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2262760992 = 253228032
BaseRepresentation
bin1000011011011110…
…1111111000100000
312211200210011112200
42012313233320200
514113231322432
61012310453200
7110034102552
oct20667577040
95750704480
102262760992
11a612a6908
12531964200
132a0a3723b
141767374d2
15d39b7a7c
hex86defe20

2262760992 has 54 divisors (see below), whose sum is σ = 6437023047. Its totient is φ = 753984576.

The previous prime is 2262760991. The next prime is 2262761029. The reversal of 2262760992 is 2990672622.

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 only one way, i.e., 1131380496 + 1131380496 = 33636^2 + 33636^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33636.

It is not an unprimeable number, because it can be changed into a prime (2262760991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 805863 + ... + 808665.

Almost surely, 22262760992 is an apocalyptic number.

It is an amenable number.

2262760992 is an abundant number, since it is smaller than the sum of its proper divisors (4174262055).

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

2262760992 is an frugal number, since it uses more digits than its factorization.

2262760992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2262760992 is about 47568.4873839814. The cubic root of 2262760992 is about 1312.8433069834.

The spelling of 2262760992 in words is "two billion, two hundred sixty-two million, seven hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2803 5606 8409 11212 16818 22424 25227 33636 44848 50454 67272 89696 100908 134544 201816 269088 403632 807264 7856809 15713618 23570427 31427236 47140854 62854472 70711281 94281708 125708944 141422562 188563416 251417888 282845124 377126832 565690248 754253664 1131380496 2262760992