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22400152125 = 3531319257941
BaseRepresentation
bin10100110111001001…
…110011001000111101
32010211002211121222220
4110313021303020331
5331333414332000
614142424555553
71422045102651
oct246711631075
963732747886
1022400152125
11955533591a
124411922bb9
13215ca178b0
141126d84a61
158b18221a0
hex53727323d

22400152125 has 128 divisors (see below), whose sum is σ = 42463249920. Its totient is φ = 10395648000.

The previous prime is 22400152121. The next prime is 22400152213. The reversal of 22400152125 is 52125100422.

It is not a de Polignac number, because 22400152125 - 22 = 22400152121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22400152095 and 22400152104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400152121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 23804155 + ... + 23805095.

It is an arithmetic number, because the mean of its divisors is an integer number (331744140).

Almost surely, 222400152125 is an apocalyptic number.

22400152125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22400152125 is a deficient number, since it is larger than the sum of its proper divisors (20063097795).

22400152125 is a wasteful number, since it uses less digits than its factorization.

22400152125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 22400152125 its reverse (52125100422), we get a palindrome (74525252547).

The spelling of 22400152125 in words is "twenty-two billion, four hundred million, one hundred fifty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 19 25 39 57 65 75 95 125 195 247 257 285 325 375 475 741 771 941 975 1235 1285 1425 1625 2375 2823 3341 3705 3855 4705 4875 4883 6175 6425 7125 10023 12233 14115 14649 16705 17879 18525 19275 23525 24415 30875 32125 36699 50115 53637 61165 63479 70575 73245 83525 89395 92625 96375 117625 122075 183495 190437 232427 241837 250575 268185 305825 317395 352875 366225 417625 446975 610375 697281 725511 917475 952185 1162135 1209185 1252875 1340925 1529125 1586975 1831125 2234875 3143881 3486405 3627555 4587375 4594903 4760925 5810675 6045925 6704625 7934875 9431643 13784709 15719405 17432025 18137775 22974515 23804625 29053375 30229625 47158215 59733739 68923545 78597025 87160125 90688875 114872575 179201217 235791075 298668695 344617725 392985125 574362875 896006085 1178955375 1493343475 1723088625 4480030425 7466717375 22400152125