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22122242102232 = 23321752291753439
BaseRepresentation
bin1010000011110101111000…
…11000011101001111011000
32220022212101002101120011200
411001322330120131033120
510344422322434232412
6115014452343354200
74442164532163366
oct501727430351730
986285332346150
1022122242102232
117059a98a39598
122593532152960
13c461703b547c
14566a17b30636
152856b4aa09dc
hex141ebc61d3d8

22122242102232 has 48 divisors (see below), whose sum is σ = 59914781784000. Its totient is φ = 7374034412736.

The previous prime is 22122242102179. The next prime is 22122242102249. The reversal of 22122242102232 is 23220124222122.

22122242102232 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 2 + 2 + 421 + 0 + 2 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22122242102196 and 22122242102205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11739769 + ... + 13493207.

It is an arithmetic number, because the mean of its divisors is an integer number (1248224620500).

Almost surely, 222122242102232 is an apocalyptic number.

It is an amenable number.

22122242102232 is an abundant number, since it is smaller than the sum of its proper divisors (37792539681768).

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

22122242102232 is a wasteful number, since it uses less digits than its factorization.

22122242102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928680 (or 1928673 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22122242102232 its reverse (23220124222122), we get a palindrome (45342366324354).

The spelling of 22122242102232 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred forty-two million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 175229 350458 525687 700916 1051374 1401832 1577061 1753439 2102748 3154122 3506878 4205496 5260317 6308244 7013756 10520634 12616488 14027512 15780951 21041268 31561902 42082536 63123804 126247608 307253362531 614506725062 921760087593 1229013450124 1843520175186 2458026900248 2765280262779 3687040350372 5530560525558 7374080700744 11061121051116 22122242102232