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2270830592 = 213416761
BaseRepresentation
bin1000011101011010…
…0010000000000000
312212020222010221202
42013112202000000
514122313034332
61013155440332
7110162512232
oct20726420000
95766863852
102270830592
11a659086a8
125345b60a8
132a2601254
14177838252
15d455da62
hex875a2000

2270830592 has 56 divisors (see below), whose sum is σ = 4652837532. Its totient is φ = 1107558400.

The previous prime is 2270830579. The next prime is 2270830609. The reversal of 2270830592 is 2950380722.

It can be written as a sum of positive squares in 2 ways, for example, as 2236911616 + 33918976 = 47296^2 + 5824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332492 + ... + 339252.

Almost surely, 22270830592 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 2270830592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326418766).

2270830592 is an abundant number, since it is smaller than the sum of its proper divisors (2382006940).

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

2270830592 is an frugal number, since it uses more digits than its factorization.

2270830592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 2270830592 is about 47653.2327549769. The cubic root of 2270830592 is about 1314.4021034382.

The spelling of 2270830592 in words is "two billion, two hundred seventy million, eight hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 5248 6761 8192 10496 13522 20992 27044 41984 54088 83968 108176 167936 216352 277201 335872 432704 554402 865408 1108804 1730816 2217608 3461632 4435216 6923264 8870432 13846528 17740864 27693056 35481728 55386112 70963456 141926912 283853824 567707648 1135415296 2270830592