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22785399540 = 223251761122069
BaseRepresentation
bin10101001110000111…
…011001101011110100
32011210221202020002200
4111032013121223310
5333131030241130
614244550104500
71434433462161
oct251607315364
964727666080
1022785399540
119732844a12
1244ba94b130
1321c1792347
1411621c9068
158d556e760
hex54e1d9af4

22785399540 has 144 divisors (see below), whose sum is σ = 74381645520. Its totient is φ = 5624893440.

The previous prime is 22785399517. The next prime is 22785399551. The reversal of 22785399540 is 4599358722.

22785399540 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 5 + 3 + 99 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6247953936 + 16537445604 = 79044^2 + 128598^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125626 + ... + 247694.

It is an arithmetic number, because the mean of its divisors is an integer number (516539205).

Almost surely, 222785399540 is an apocalyptic number.

22785399540 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 22785399540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37190822760).

22785399540 is an abundant number, since it is smaller than the sum of its proper divisors (51596245980).

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

22785399540 is a wasteful number, since it uses less digits than its factorization.

22785399540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122162 (or 122157 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 22785399540 in words is "twenty-two billion, seven hundred eighty-five million, three hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 549 610 612 732 765 915 1020 1037 1098 1220 1530 1830 2074 2196 2745 3060 3111 3660 4148 5185 5490 6222 9333 10370 10980 12444 15555 18666 20740 31110 37332 46665 62220 93330 122069 186660 244138 366207 488276 610345 732414 1098621 1220690 1464828 1831035 2075173 2197242 2441380 3662070 4150346 4394484 5493105 6225519 7324140 7446209 8300692 10375865 10986210 12451038 14892418 18676557 20751730 21972420 22338627 24902076 29784836 31127595 37231045 37353114 41503460 44677254 62255190 67015881 74462090 74706228 89354508 93382785 111693135 124510380 126585553 134031762 148924180 186765570 223386270 253171106 268063524 335079405 373531140 379756659 446772540 506342212 632927765 670158810 759513318 1139269977 1265855530 1340317620 1519026636 1898783295 2278539954 2531711060 3797566590 4557079908 5696349885 7595133180 11392699770 22785399540