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22300880157144 = 233217163111777137
BaseRepresentation
bin1010001001000010101000…
…00010100011100111011000
32220221221110200101222222200
411010201110002203213120
510410334200310012034
6115232514413050200
74461120412455201
oct504412402434730
986857420358880
1022300880157144
117118828514216
122602087786960
13c59c6bb13644
14571522ac25a8
1528a16c92ea99
hex1448540a39d8

22300880157144 has 96 divisors (see below), whose sum is σ = 64343391718320. Its totient is φ = 6953432076288.

The previous prime is 22300880157089. The next prime is 22300880157163. The reversal of 22300880157144 is 44175108800322.

22300880157144 is a `hidden beast` number, since 2 + 2 + 30 + 0 + 8 + 8 + 0 + 1 + 571 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22300880157144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55689057 + ... + 56088080.

Almost surely, 222300880157144 is an apocalyptic number.

22300880157144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22300880157144 is an abundant number, since it is smaller than the sum of its proper divisors (42042511561176).

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

22300880157144 is a wasteful number, since it uses less digits than its factorization.

22300880157144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111777329 (or 111777322 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 22300880157144 its reverse (44175108800322), we get a palindrome (66475988957466).

The spelling of 22300880157144 in words is "twenty-two trillion, three hundred billion, eight hundred eighty million, one hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 163 204 306 326 408 489 612 652 978 1224 1304 1467 1956 2771 2934 3912 5542 5868 8313 11084 11736 16626 22168 24939 33252 49878 66504 99756 199512 111777137 223554274 335331411 447108548 670662822 894217096 1005994233 1341325644 1900211329 2011988466 2682651288 3800422658 4023976932 5700633987 7600845316 8047953864 11401267974 15201690632 17101901961 18219673331 22802535948 34203803922 36439346662 45605071896 54659019993 68407607844 72878693324 109318039986 136815215688 145757386648 163977059979 218636079972 309734446627 327954119958 437272159944 619468893254 655908239916 929203339881 1238937786508 1311816479832 1858406679762 2477875573016 2787610019643 3716813359524 5575220039286 7433626719048 11150440078572 22300880157144