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22412228960 = 2551167190063
BaseRepresentation
bin10100110111110111…
…110111100101100000
32010211221120012022002
4110313313313211200
5331400012311320
614143535503132
71422252542252
oct246767674540
963757505262
1022412228960
119561134380
124415987aa8
132162385854
141128809cd2
158b290a675
hex537df7960

22412228960 has 96 divisors (see below), whose sum is σ = 58624860672. Its totient is φ = 8028218880.

The previous prime is 22412228959. The next prime is 22412228963. The reversal of 22412228960 is 6982221422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22412228963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22889 + ... + 212951.

It is an arithmetic number, because the mean of its divisors is an integer number (610675632).

Almost surely, 222412228960 is an apocalyptic number.

22412228960 is a gapful number since it is divisible by the number (20) 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 22412228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29312430336).

22412228960 is an abundant number, since it is smaller than the sum of its proper divisors (36212631712).

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

22412228960 is a wasteful number, since it uses less digits than its factorization.

22412228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190156 (or 190148 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 22412228960 in words is "twenty-two billion, four hundred twelve million, two hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 67 80 88 110 134 160 176 220 268 335 352 440 536 670 737 880 1072 1340 1474 1760 2144 2680 2948 3685 5360 5896 7370 10720 11792 14740 23584 29480 58960 117920 190063 380126 760252 950315 1520504 1900630 2090693 3041008 3801260 4181386 6082016 7602520 8362772 10453465 12734221 15205040 16725544 20906930 25468442 30410080 33451088 41813860 50936884 63671105 66902176 83627720 101873768 127342210 140076431 167255440 203747536 254684420 280152862 334510880 407495072 509368840 560305724 700382155 1018737680 1120611448 1400764310 2037475360 2241222896 2801528620 4482445792 5603057240 11206114480 22412228960