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22122125256 = 2337311244303
BaseRepresentation
bin10100100110100101…
…001101011111001000
32010002201200101211110
4110212211031133020
5330301231002011
614055053530320
71412130651000
oct244645153710
963081611743
1022122125256
1194223aa150
1243547a39a0
13211724135a
1410dc091000
15897203ba6
hex52694d7c8

22122125256 has 128 divisors (see below), whose sum is σ = 70359552000. Its totient is φ = 5745983040.

The previous prime is 22122125237. The next prime is 22122125257. The reversal of 22122125256 is 65252122122.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22122125257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31600 + ... + 212703.

It is an arithmetic number, because the mean of its divisors is an integer number (549684000).

Almost surely, 222122125256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122125256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35179776000).

22122125256 is an abundant number, since it is smaller than the sum of its proper divisors (48237426744).

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

22122125256 is a wasteful number, since it uses less digits than its factorization.

22122125256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244344 (or 244326 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

Adding to 22122125256 its reverse (65252122122), we get a palindrome (87374247378).

The spelling of 22122125256 in words is "twenty-two billion, one hundred twenty-two million, one hundred twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7546 8232 11319 12936 15092 22638 30184 45276 90552 244303 488606 732909 977212 1465818 1710121 1954424 2687333 2931636 3420242 5130363 5374666 5863272 6840484 8061999 10260726 10749332 11970847 13680968 16123998 18811331 20521452 21498664 23941694 32247996 35912541 37622662 41042904 47883388 56433993 64495992 71825082 75245324 83795929 95766776 112867986 131679317 143650164 150490648 167591858 225735972 251387787 263358634 287300328 335183716 395037951 451471944 502775574 526717268 670367432 790075902 921755219 1005551148 1053434536 1580151804 1843510438 2011102296 2765265657 3160303608 3687020876 5530531314 7374041752 11061062628 22122125256