Search a number
-
+
22049674944 = 2631146322549
BaseRepresentation
bin10100100010010000…
…110101011011000000
32002220200100112200120
4110202100311123000
5330124204044234
614043545020240
71410261100413
oct244220653300
962820315616
1022049674944
119395515160
124334484680
13210522544b
1410d25d1b7a
15890b92049
hex5224356c0

22049674944 has 112 divisors (see below), whose sum is σ = 63783667200. Its totient is φ = 6666992640.

The previous prime is 22049674939. The next prime is 22049674963. The reversal of 22049674944 is 44947694022.

It is a happy number.

It is a super-2 number, since 2×220496749442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966582 + ... + 989130.

Almost surely, 222049674944 is an apocalyptic number.

22049674944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22049674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31891833600).

22049674944 is an abundant number, since it is smaller than the sum of its proper divisors (41733992256).

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

22049674944 is a wasteful number, since it uses less digits than its factorization.

22049674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23038 (or 23028 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 22049674944 in words is "twenty-two billion, forty-nine million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 463 528 704 926 1056 1389 1852 2112 2778 3704 5093 5556 7408 10186 11112 14816 15279 20372 22224 22549 29632 30558 40744 44448 45098 61116 67647 81488 88896 90196 122232 135294 162976 180392 244464 248039 270588 325952 360784 488928 496078 541176 721568 744117 977856 992156 1082352 1443136 1488234 1984312 2164704 2976468 3968624 4329408 5952936 7937248 10440187 11905872 15874496 20880374 23811744 31320561 41760748 47623488 62641122 83521496 114842057 125282244 167042992 229684114 250564488 334085984 344526171 459368228 501128976 668171968 689052342 918736456 1002257952 1378104684 1837472912 2004515904 2756209368 3674945824 5512418736 7349891648 11024837472 22049674944