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2292047136 = 253210178797
BaseRepresentation
bin1000100010011101…
…1101110100100000
312220201220001120200
42020213131310200
514143231002021
61015234305200
7110541036111
oct21047356440
95821801520
102292047136
11a76889a35
1253b728200
132a6b1c312
1417a59c208
15d6350126
hex889ddd20

2292047136 has 72 divisors (see below), whose sum is σ = 6582627324. Its totient is φ = 756441600.

The previous prime is 2292047099. The next prime is 2292047137. The reversal of 2292047136 is 6317402922.

It can be written as a sum of positive squares in 2 ways, for example, as 1828075536 + 463971600 = 42756^2 + 21540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2292047136.

It is not an unprimeable number, because it can be changed into a prime (2292047137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10311 + ... + 68486.

Almost surely, 22292047136 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 2292047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291313662).

2292047136 is an abundant number, since it is smaller than the sum of its proper divisors (4290580188).

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

2292047136 is a wasteful number, since it uses less digits than its factorization.

2292047136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78914 (or 78903 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2292047136 is about 47875.3290954746. The cubic root of 2292047136 is about 1318.4829403256.

The spelling of 2292047136 in words is "two billion, two hundred ninety-two million, forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 29088 78797 157594 236391 315188 472782 630376 709173 945564 1260752 1418346 1891128 2521504 2836692 3782256 5673384 7564512 7958497 11346768 15916994 22693536 23875491 31833988 47750982 63667976 71626473 95501964 127335952 143252946 191003928 254671904 286505892 382007856 573011784 764015712 1146023568 2292047136