Search a number
-
+
12222425088 = 211321733833
BaseRepresentation
bin10110110001000001…
…10110100000000000
31011112210122112012200
423120200312200000
5200012420100323
65340452553200
7611611620246
oct133040664000
934483575180
1012222425088
115202270965
122451322800
1311ca270cc3
1483d39a796
154b8059443
hex2d8836800

12222425088 has 144 divisors (see below), whose sum is σ = 35513920260. Its totient is φ = 4049534976.

The previous prime is 12222425041. The next prime is 12222425167. The reversal of 12222425088 is 88052422221.

It is a happy number.

12222425088 is a `hidden beast` number, since 1 + 2 + 222 + 425 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12124652544 + 97772544 = 110112^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3186820 + ... + 3190652.

Almost surely, 212222425088 is an apocalyptic number.

12222425088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756960130).

12222425088 is an abundant number, since it is smaller than the sum of its proper divisors (23291495172).

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

12222425088 is a wasteful number, since it uses less digits than its factorization.

12222425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12222425088 in words is "twelve billion, two hundred twenty-two million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1024 1038 1152 1384 1536 1557 2048 2076 2304 2768 3072 3114 3833 4152 4608 5536 6144 6228 7666 8304 9216 11072 11499 12456 15332 16608 18432 22144 22998 24912 30664 33216 34497 44288 45996 49824 61328 66432 68994 88576 91992 99648 122656 132864 137988 177152 183984 199296 245312 265728 275976 354304 367968 398592 490624 531456 551952 663109 735936 797184 981248 1062912 1103904 1326218 1471872 1594368 1962496 1989327 2207808 2652436 2943744 3188736 3924992 3978654 4415616 5304872 5887488 5967981 7849984 7957308 8831232 10609744 11774976 11935962 15914616 17662464 21219488 23549952 23871924 31829232 35324928 42438976 47743848 63658464 70649856 84877952 95487696 127316928 169755904 190975392 254633856 339511808 381950784 509267712 679023616 763901568 1018535424 1358047232 1527803136 2037070848 3055606272 4074141696 6111212544 12222425088