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2922916096 = 283121092
BaseRepresentation
bin1010111000111000…
…0010100100000000
321112200222112002201
42232032002210000
521441231303341
61202012122544
7132301243162
oct25616024400
97480875081
102922916096
11126aa01141
12696a66454
13377735569
141da29c932
15121919331
hexae382900

2922916096 has 81 divisors (see below), whose sum is σ = 6084509193. Its totient is φ = 1401338880.

The previous prime is 2922916093. The next prime is 2922916123. The reversal of 2922916096 is 6906192292.

The square root of 2922916096 is 54064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2037258496 + 885657600 = 45136^2 + 29760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2922916093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26815690 + ... + 26815798.

Almost surely, 22922916096 is an apocalyptic number.

2922916096 is the 54064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2922916096

2922916096 is an abundant number, since it is smaller than the sum of its proper divisors (3161593097).

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

2922916096 is an frugal number, since it uses more digits than its factorization.

2922916096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The cubic root of 2922916096 is about 1429.7895424381.

The spelling of 2922916096 in words is "two billion, nine hundred twenty-two million, nine hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 109 124 128 218 248 256 436 496 872 961 992 1744 1922 1984 3379 3488 3844 3968 6758 6976 7688 7936 11881 13516 13952 15376 23762 27032 27904 30752 47524 54064 61504 95048 104749 108128 123008 190096 209498 216256 246016 368311 380192 418996 432512 736622 760384 837992 865024 1473244 1520768 1675984 2946488 3041536 3351968 5892976 6703936 11417641 11785952 13407872 22835282 23571904 26815744 45670564 47143808 91341128 94287616 182682256 365364512 730729024 1461458048 2922916096