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22832502912 = 27343171039
BaseRepresentation
bin10101010000111011…
…000101100010000000
32011221020101022210000
4111100323011202000
5333230110043122
614253351440000
71435545033612
oct252073054200
964836338700
1022832502912
11975739741a
124512686000
1321cb47516b
14116856adb2
158d97760ac
hex550ec5880

22832502912 has 160 divisors (see below), whose sum is σ = 70142054400. Its totient is φ = 7365219840.

The previous prime is 22832502911. The next prime is 22832502941. The reversal of 22832502912 is 21920523822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22832502911) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 285889 + ... + 356927.

It is an arithmetic number, because the mean of its divisors is an integer number (438387840).

Almost surely, 222832502912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22832502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071027200).

22832502912 is an abundant number, since it is smaller than the sum of its proper divisors (47309551488).

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

22832502912 is an equidigital number, since it uses as much as digits as its factorization.

22832502912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71096 (or 71075 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22832502912 in words is "twenty-two billion, eight hundred thirty-two million, five hundred two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 35712 40176 53568 71039 80352 107136 142078 160704 213117 284156 321408 426234 568312 639351 852468 1136624 1278702 1704936 1918053 2202209 2273248 2557404 3409872 3836106 4404418 4546496 5114808 5754159 6606627 6819744 7672212 8808836 9092992 10229616 11508318 13213254 13639488 15344424 17617672 19819881 20459232 23016636 26426508 27278976 30688848 35235344 39639762 40918464 46033272 52853016 59459643 61377696 70470688 79279524 81836928 92066544 105706032 118919286 122755392 140941376 158559048 178378929 184133088 211412064 237838572 245510784 281882752 317118096 356757858 368266176 422824128 475677144 634236192 713515716 736532352 845648256 951354288 1268472384 1427031432 1902708576 2536944768 2854062864 3805417152 5708125728 7610834304 11416251456 22832502912