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22125058344 = 23328319319183
BaseRepresentation
bin10100100110110000…
…011001100100101000
32010002221012102021100
4110212300121210220
5330303003331334
614055240441400
71412164615164
oct244660314450
963087172240
1022125058344
119424022894
124355779260
132117a2a3cc
1410dc615ca4
158975d2c99
hex526c19928

22125058344 has 96 divisors (see below), whose sum is σ = 60961380480. Its totient is φ = 7248033792.

The previous prime is 22125058337. The next prime is 22125058349. The reversal of 22125058344 is 44385052122.

22125058344 is a `hidden beast` number, since 2 + 21 + 2 + 50 + 583 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22125058299 and 22125058308.

It is not an unprimeable number, because it can be changed into a prime (22125058349) 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, 1143777 + ... + 1162959.

It is an arithmetic number, because the mean of its divisors is an integer number (635014380).

Almost surely, 222125058344 is an apocalyptic number.

22125058344 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 22125058344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30480690240).

22125058344 is an abundant number, since it is smaller than the sum of its proper divisors (38836322136).

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

22125058344 is a wasteful number, since it uses less digits than its factorization.

22125058344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19471 (or 19464 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 22125058344 in words is "twenty-two billion, one hundred twenty-five million, fifty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 193 249 332 386 498 579 664 747 772 996 1158 1494 1544 1737 1992 2316 2988 3474 4632 5976 6948 13896 16019 19183 32038 38366 48057 57549 64076 76732 96114 115098 128152 144171 153464 172647 192228 230196 288342 345294 384456 460392 576684 690588 1153368 1381176 1592189 3184378 3702319 4776567 6368756 7404638 9553134 11106957 12737512 14329701 14809276 19106268 22213914 28659402 29618552 33320871 38212536 44427828 57318804 66641742 88855656 114637608 133283484 266566968 307292477 614584954 921877431 1229169908 1843754862 2458339816 2765632293 3687509724 5531264586 7375019448 11062529172 22125058344