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2292088864 = 251321922307
BaseRepresentation
bin1000100010011110…
…1000000000100000
312220201222011211011
42020213220000200
514143233320424
61015235230304
7110541301552
oct21047500040
95821864734
102292088864
11a7690831a
1253b748394
132a6b35300
1417a5ad4d2
15d635c694
hex889e8020

2292088864 has 72 divisors (see below), whose sum is σ = 5143778640. Its totient is φ = 1002163968.

The previous prime is 2292088859. The next prime is 2292088871. The reversal of 2292088864 is 4688802922.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91599 + ... + 113905.

It is an arithmetic number, because the mean of its divisors is an integer number (71441370).

Almost surely, 22292088864 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 2292088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571889320).

2292088864 is an abundant number, since it is smaller than the sum of its proper divisors (2851689776).

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

2292088864 is a wasteful number, since it uses less digits than its factorization.

2292088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22362 (or 22341 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 2292088864 is about 47875.7648920620. The cubic root of 2292088864 is about 1318.4909415168.

The spelling of 2292088864 in words is "two billion, two hundred ninety-two million, eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 169 208 247 304 338 416 494 608 676 988 1352 1976 2704 3211 3952 5408 6422 7904 12844 22307 25688 44614 51376 89228 102752 178456 289991 356912 423833 579982 713824 847666 1159964 1695332 2319928 3390664 3769883 4639856 5509829 6781328 7539766 9279712 11019658 13562656 15079532 22039316 30159064 44078632 60318128 71627777 88157264 120636256 143255554 176314528 286511108 573022216 1146044432 2292088864