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2270881632 = 253231028479
BaseRepresentation
bin1000011101011010…
…1110011101100000
312212021001201222010
42013112232131200
514122321203012
61013200512520
7110163114105
oct20726563540
95767051863
102270881632
11a65942a88
1253461b740
132a261b556
1417784caac
15d456dc3c
hex875ae760

2270881632 has 48 divisors (see below), whose sum is σ = 6220247040. Its totient is φ = 724048512.

The previous prime is 2270881603. The next prime is 2270881661. The reversal of 2270881632 is 2361880722.

2270881632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2270881603) and next prime (2270881661).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512032 + ... + 516447.

It is an arithmetic number, because the mean of its divisors is an integer number (129588480).

Almost surely, 22270881632 is an apocalyptic number.

It is an amenable number.

2270881632 is an abundant number, since it is smaller than the sum of its proper divisors (3949365408).

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

2270881632 is a wasteful number, since it uses less digits than its factorization.

2270881632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028515 (or 1028507 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2270881632 is about 47653.7682875132. The cubic root of 2270881632 is about 1314.4119510216.

The spelling of 2270881632 in words is "two billion, two hundred seventy million, eight hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 1028479 2056958 3085437 4113916 6170874 8227832 12341748 16455664 23655017 24683496 32911328 47310034 49366992 70965051 94620068 98733984 141930102 189240136 283860204 378480272 567720408 756960544 1135440816 2270881632