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22284055136 = 257831198583
BaseRepresentation
bin10100110000001110…
…111011001001100000
32010112000101021212102
4110300032323021200
5331114204231021
614123120345532
71416135225530
oct246016731140
963460337772
1022284055136
1194a584a4a2
12439aa752a8
132141959355
1411157a34c0
158a653d00b
hex5303bb260

22284055136 has 48 divisors (see below), whose sum is σ = 50743252224. Its totient is φ = 9435237504.

The previous prime is 22284055093. The next prime is 22284055139. The reversal of 22284055136 is 63155048222.

It is a happy number.

It is a super-3 number, since 3×222840551363 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22284055136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22284055139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580700 + ... + 617883.

It is an arithmetic number, because the mean of its divisors is an integer number (1057151088).

Almost surely, 222284055136 is an apocalyptic number.

It is an amenable number.

22284055136 is an abundant number, since it is smaller than the sum of its proper divisors (28459197088).

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

22284055136 is a wasteful number, since it uses less digits than its factorization.

22284055136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198683 (or 1198675 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 22284055136 in words is "twenty-two billion, two hundred eighty-four million, fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 581 664 1162 1328 2324 2656 4648 9296 18592 1198583 2397166 4794332 8390081 9588664 16780162 19177328 33560324 38354656 67120648 99482389 134241296 198964778 268482592 397929556 696376723 795859112 1392753446 1591718224 2785506892 3183436448 5571013784 11142027568 22284055136