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22940246880 = 25325118713421
BaseRepresentation
bin10101010111010110…
…000110001101100000
32012012202010021201100
4111113112012031200
5333440200400010
614312201034400
71441323611145
oct252726061540
965182107640
1022940246880
119802198021
124542785a00
13221789a6a5
1411789b63cc
158e3e5a2c0
hex557586360

22940246880 has 144 divisors (see below), whose sum is σ = 78355381104. Its totient is φ = 6111790080.

The previous prime is 22940246863. The next prime is 22940246909. The reversal of 22940246880 is 8864204922.

22940246880 is a `hidden beast` number, since 22 + 94 + 0 + 2 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1702570 + ... + 1715990.

It is an arithmetic number, because the mean of its divisors is an integer number (544134591).

Almost surely, 222940246880 is an apocalyptic number.

22940246880 is a gapful number since it is divisible by the number (20) 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 22940246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39177690552).

22940246880 is an abundant number, since it is smaller than the sum of its proper divisors (55415134224).

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

22940246880 is a wasteful number, since it uses less digits than its factorization.

22940246880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14629 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22940246880 in words is "twenty-two billion, nine hundred forty million, two hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1187 1440 2374 3561 4748 5935 7122 9496 10683 11870 13421 14244 17805 18992 21366 23740 26842 28488 35610 37984 40263 42732 47480 53415 53684 56976 67105 71220 80526 85464 94960 106830 107368 113952 120789 134210 142440 161052 170928 189920 201315 213660 214736 241578 268420 284880 322104 341856 402630 427320 429472 483156 536840 569760 603945 644208 805260 854640 966312 1073680 1207890 1288416 1610520 1709280 1932624 2147360 2415780 3221040 3865248 4831560 6442080 9663120 15930727 19326240 31861454 47792181 63722908 79653635 95584362 127445816 143376543 159307270 191168724 238960905 254891632 286753086 318614540 382337448 477921810 509783264 573506172 637229080 716882715 764674896 955843620 1147012344 1274458160 1433765430 1529349792 1911687240 2294024688 2548916320 2867530860 3823374480 4588049376 5735061720 7646748960 11470123440 22940246880