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22423111344 = 2432298364693
BaseRepresentation
bin10100111000100001…
…011000011010110000
32010212201001002010100
4110320201120122300
5331410304030334
614145005032400
71422444205314
oct247041303260
963781032110
1022423111344
119567297487
124419555700
1321646c5c2a
14112a03db44
158b3859c99
hex5388586b0

22423111344 has 120 divisors (see below), whose sum is σ = 65700638640. Its totient is φ = 7129575936.

The previous prime is 22423111343. The next prime is 22423111351. The reversal of 22423111344 is 44311132422.

22423111344 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 311 + 1 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22423111343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314262 + ... + 378954.

It is an arithmetic number, because the mean of its divisors is an integer number (547505322).

Almost surely, 222423111344 is an apocalyptic number.

22423111344 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 22423111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32850319320).

22423111344 is an abundant number, since it is smaller than the sum of its proper divisors (43277527296).

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

22423111344 is a wasteful number, since it uses less digits than its factorization.

22423111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64819 (or 64810 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22423111344 its reverse (44311132422), we get a palindrome (66734243766).

The spelling of 22423111344 in words is "twenty-two billion, four hundred twenty-three million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 83 87 116 144 166 174 232 249 261 332 348 464 498 522 664 696 747 996 1044 1328 1392 1494 1992 2088 2407 2988 3984 4176 4814 5976 7221 9628 11952 14442 19256 21663 28884 38512 43326 57768 64693 86652 115536 129386 173304 194079 258772 346608 388158 517544 582237 776316 1035088 1164474 1552632 1876097 2328948 3105264 3752194 4657896 5369519 5628291 7504388 9315792 10739038 11256582 15008776 16108557 16884873 21478076 22513164 30017552 32217114 33769746 42956152 45026328 48325671 64434228 67539492 85912304 90052656 96651342 128868456 135078984 155716051 193302684 257736912 270157968 311432102 386605368 467148153 622864204 773210736 934296306 1245728408 1401444459 1868592612 2491456816 2802888918 3737185224 5605777836 7474370448 11211555672 22423111344