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2290792932 = 2232457139241
BaseRepresentation
bin1000100010001010…
…1011100111100100
312220122112100010200
42020202223213210
514142420333212
61015151350500
7110524263411
oct21042534744
95818470120
102290792932
11a761026aa
1253b222430
132a67a049c
1417a353108
15d61a36dc
hex888ab9e4

2290792932 has 36 divisors (see below), whose sum is σ = 5803328076. Its totient is φ = 761921280.

The previous prime is 2290792927. The next prime is 2290792937. The reversal of 2290792932 is 2392970922.

2290792932 is a `hidden beast` number, since 2 + 290 + 79 + 293 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2290792927) and next prime (2290792937).

It can be written as a sum of positive squares in 2 ways, for example, as 2096357796 + 194435136 = 45786^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2290792937) by changing a digit.

It is a subfactorial, being equal to the number of derangements of 13 objects .

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53169 + ... + 86072.

Almost surely, 22290792932 is an apocalyptic number.

It is an amenable number.

2290792932 is an abundant number, since it is smaller than the sum of its proper divisors (3512535144).

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

2290792932 is a wasteful number, since it uses less digits than its factorization.

2290792932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139708 (or 139703 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2290792932 is about 47862.2286568438. The cubic root of 2290792932 is about 1318.2424059626.

The spelling of 2290792932 in words is "two billion, two hundred ninety million, seven hundred ninety-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 139241 278482 417723 556964 835446 1253169 1670892 2506338 5012676 63633137 127266274 190899411 254532548 381798822 572698233 763597644 1145396466 2290792932