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22112022024 = 2332437370229
BaseRepresentation
bin10100100101111110…
…101010111000001000
32010002000200002210200
4110211332222320020
5330241134201044
614054053212200
71411646041341
oct244576527010
963060602720
1022112022024
119417729474
124351331060
132115114801
1410da9c10c8
158963aa369
hex525faae08

22112022024 has 48 divisors (see below), whose sum is σ = 59901273900. Its totient is φ = 7368883584.

The previous prime is 22112022013. The next prime is 22112022041. The reversal of 22112022024 is 42022021122.

It can be written as a sum of positive squares in 2 ways, for example, as 18392241924 + 3719780100 = 135618^2 + 60990^2 .

It is a super-2 number, since 2×221120220242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22112021988 and 22112022006.

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 11 ways as a sum of consecutive naturals, for example, 279742 + ... + 349970.

Almost surely, 222112022024 is an apocalyptic number.

22112022024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22112022024 is an abundant number, since it is smaller than the sum of its proper divisors (37789251876).

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

22112022024 is a wasteful number, since it uses less digits than its factorization.

22112022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74614 (or 74607 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22112022024 its reverse (42022021122), we get a palindrome (64134043146).

The spelling of 22112022024 in words is "twenty-two billion, one hundred twelve million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4373 8746 13119 17492 26238 34984 39357 52476 70229 78714 104952 140458 157428 210687 280916 314856 421374 561832 632061 842748 1264122 1685496 2528244 5056488 307111417 614222834 921334251 1228445668 1842668502 2456891336 2764002753 3685337004 5528005506 7370674008 11056011012 22112022024