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22129801425 = 345217733877
BaseRepresentation
bin10100100111000010…
…011111100011010001
32010010021010101120000
4110213002133203101
5330310212121200
614055530240213
71412253131334
oct244702374321
963107111500
1022129801425
119426772396
124357286069
1321189cb274
1410dd0cc61b
15897c1d300
hex52709f8d1

22129801425 has 120 divisors (see below), whose sum is σ = 43512110136. Its totient is φ = 11080488960.

The previous prime is 22129801411. The next prime is 22129801501. The reversal of 22129801425 is 52410892122.

22129801425 is a `hidden beast` number, since 221 + 2 + 9 + 8 + 0 + 1 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 320123664 + 21809677761 = 17892^2 + 147681^2 .

It is not a de Polignac number, because 22129801425 - 224 = 22113024209 is a prime.

It is a super-2 number, since 2×221298014252 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22129801425.

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 119 ways as a sum of consecutive naturals, for example, 25233087 + ... + 25233963.

Almost surely, 222129801425 is an apocalyptic number.

22129801425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22129801425 is a deficient number, since it is larger than the sum of its proper divisors (21382308711).

22129801425 is a wasteful number, since it uses less digits than its factorization.

22129801425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22129801425 in words is "twenty-two billion, one hundred twenty-nine million, eight hundred one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 675 733 765 877 1275 1377 2025 2199 2295 2631 3665 3825 4385 6597 6885 7893 10995 11475 12461 13155 14909 18325 19791 21925 23679 32985 34425 37383 39465 44727 54975 59373 62305 65775 71037 74545 98955 112149 118395 134181 164925 186915 197325 223635 296865 311525 336447 355185 372725 402543 494775 560745 591975 642841 670905 934575 1009341 1118175 1207629 1484325 1682235 1775925 1928523 2012715 2803725 3214205 3354525 5046705 5785569 6038145 8411175 9642615 10063575 10928297 16071025 17356707 25233525 28927845 30190725 32784891 48213075 52070121 54641485 86783535 98354673 144639225 163924455 260350605 273207425 295064019 433917675 491773365 819622275 885192057 1301753025 1475320095 2458866825 4425960285 7376600475 22129801425