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22954598128 = 24711371034889
BaseRepresentation
bin10101011000001100…
…110101111011110000
32012020202010101221001
4111120030311323300
5334002334120003
614313432411344
71441556602420
oct253014657360
965222111831
1022954598128
11980a2aa360
124547546b54
13221a853957
14117a870480
158e534261d
hex558335ef0

22954598128 has 160 divisors (see below), whose sum is σ = 57512033280. Its totient is φ = 8615393280.

The previous prime is 22954598101. The next prime is 22954598141. The reversal of 22954598128 is 82189545922.

It is a super-2 number, since 2×229545981282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692708 + ... + 4697596.

It is an arithmetic number, because the mean of its divisors is an integer number (359450208).

Almost surely, 222954598128 is an apocalyptic number.

22954598128 is a gapful number since it is divisible by the number (28) 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 22954598128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28756016640).

22954598128 is an abundant number, since it is smaller than the sum of its proper divisors (34557435152).

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

22954598128 is a wasteful number, since it uses less digits than its factorization.

22954598128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055 (or 5049 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 55.

The spelling of 22954598128 in words is "twenty-two billion, nine hundred fifty-four million, five hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 103 112 148 154 176 206 259 296 308 407 412 518 592 616 721 814 824 1036 1133 1232 1442 1628 1648 2072 2266 2849 2884 3256 3811 4144 4532 4889 5698 5768 6512 7622 7931 9064 9778 11396 11536 15244 15862 18128 19556 22792 26677 30488 31724 34223 39112 41921 45584 53354 53779 60976 63448 68446 78224 83842 106708 107558 126896 136892 167684 180893 213416 215116 273784 293447 335368 361786 376453 426832 430232 503567 547568 586894 670736 723572 752906 860464 1007134 1173788 1266251 1447144 1505812 1989823 2014268 2347576 2532502 2894288 3011624 3524969 3979646 4028536 4695152 5065004 5539237 6023248 7049938 7959292 8057072 10130008 11078474 13928761 14099876 15918584 18631979 20260016 22156948 27857522 28199752 31837168 37263958 38774659 44313896 55715044 56399504 74527916 77549318 88627792 111430088 130423853 149055832 155098636 204951769 222860176 260847706 298111664 310197272 409903538 521695412 620394544 819807076 1043390824 1434662383 1639614152 2086781648 2869324766 3279228304 5738649532 11477299064 22954598128