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2922051136 = 262922332
BaseRepresentation
bin1010111000101010…
…1111011001000000
321112122100120121011
42232022233121000
521441021114021
61201541410304
7132261011344
oct25612573100
97478316534
102922051136
11126a4702a4
12696709994
133774c1954
141da115624
151217e7de1
hexae2af640

2922051136 has 63 divisors (see below), whose sum is σ = 6031170691. Its totient is φ = 1404591104.

The previous prime is 2922051133. The next prime is 2922051157. The reversal of 2922051136 is 6311502292.

The square root of 2922051136 is 54056.

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

It can be written as a sum of positive squares in 4 ways, for example, as 244609600 + 2677441536 = 15640^2 + 51744^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2922051098 and 2922051107.

It is not an unprimeable number, because it can be changed into a prime (2922051133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12540876 + ... + 12541108.

Almost surely, 22922051136 is an apocalyptic number.

2922051136 is the 54056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2922051136

2922051136 is an abundant number, since it is smaller than the sum of its proper divisors (3109119555).

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

2922051136 is an frugal number, since it uses more digits than its factorization.

2922051136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 2922051136 is about 1429.6484923437.

It can be divided in two parts, 29 and 22051136, that multiplied together give a square (639482944 = 252882).

The spelling of 2922051136 in words is "two billion, nine hundred twenty-two million, fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 233 464 466 841 928 932 1682 1856 1864 3364 3728 6728 6757 7456 13456 13514 14912 26912 27028 53824 54056 54289 108112 108578 195953 216224 217156 391906 432448 434312 783812 868624 1567624 1574381 1737248 3135248 3148762 3474496 6270496 6297524 12540992 12595048 25190096 45657049 50380192 91314098 100760384 182628196 365256392 730512784 1461025568 2922051136