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22727255136340 = 2253760160678423
BaseRepresentation
bin1010010101011100110011…
…11110000001100001010100
32222110201000111011010122211
411022232121332001201110
510434330404303330330
6120200431252403204
74533663366133246
oct512563176014124
988421014133584
1022727255136340
117272636031887
12267083b916504
13c8b22b7b6141
1458800daaa096
152962c4a9bd2a
hex14ab99f81854

22727255136340 has 96 divisors (see below), whose sum is σ = 49112643250944. Its totient is φ = 8827980825600.

The previous prime is 22727255136319. The next prime is 22727255136347. The reversal of 22727255136340 is 4363155272722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22727255136347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2698233369 + ... + 2698241791.

It is an arithmetic number, because the mean of its divisors is an integer number (511590033864).

Almost surely, 222727255136340 is an apocalyptic number.

22727255136340 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 22727255136340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24556321625472).

22727255136340 is an abundant number, since it is smaller than the sum of its proper divisors (26385388114604).

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

22727255136340 is a wasteful number, since it uses less digits than its factorization.

22727255136340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15137 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 49.

The spelling of 22727255136340 in words is "twenty-two trillion, seven hundred twenty-seven billion, two hundred fifty-five million, one hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 601 740 1202 2404 3005 6010 6067 8423 12020 12134 16846 22237 24268 30335 33692 42115 44474 60670 84230 88948 111185 121340 168460 222370 224479 311651 444740 448958 623302 897916 1122395 1246604 1558255 2244790 3116510 3646267 4489580 5062223 6233020 7292534 10124446 14585068 18231335 20248892 25311115 36462670 50622230 51102341 72925340 101244460 102204682 134911879 187302251 204409364 255511705 269823758 374604502 511023410 539647516 674559395 749209004 936511255 1022046820 1349118790 1873022510 1890786617 2698237580 3746045020 3781573234 7563146468 9453933085 18907866170 30712506941 37815732340 61425013882 122850027764 153562534705 307125069410 614250138820 1136362756817 2272725513634 4545451027268 5681813784085 11363627568170 22727255136340