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22989958208 = 267415092459
BaseRepresentation
bin10101011010010011…
…101110110001000000
32012100012122212211122
4111122103232301000
5334040412130313
614321134331412
71442466264140
oct253223566100
965305585748
1022989958208
119828260968
124557359b68
132224c84589
141181436920
158e84c9708
hex55a4eec40

22989958208 has 112 divisors (see below), whose sum is σ = 53536291200. Its totient is φ = 9589739520.

The previous prime is 22989958207. The next prime is 22989958253. The reversal of 22989958208 is 80285998922.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (22989958207) 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, 9348083 + ... + 9350541.

It is an arithmetic number, because the mean of its divisors is an integer number (478002600).

Almost surely, 222989958208 is an apocalyptic number.

22989958208 is a gapful number since it is divisible by the number (28) 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 22989958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768145600).

22989958208 is an abundant number, since it is smaller than the sum of its proper divisors (30546332992).

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

22989958208 is a wasteful number, since it uses less digits than its factorization.

22989958208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 22989958208 in words is "twenty-two billion, nine hundred eighty-nine million, nine hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 509 574 656 1018 1148 1312 2036 2296 2459 2624 3563 4072 4592 4918 7126 8144 9184 9836 14252 16288 17213 18368 19672 20869 28504 32576 34426 39344 41738 57008 68852 78688 83476 100819 114016 137704 146083 157376 166952 201638 228032 275408 292166 333904 403276 550816 584332 667808 705733 806552 1101632 1168664 1251631 1335616 1411466 1613104 2337328 2503262 2822932 3226208 4674656 5006524 5645864 6452416 8761417 9349312 10013048 11291728 17522834 20026096 22583456 35045668 40052192 45166912 51316871 70091336 80104384 102633742 140182672 205267484 280365344 359218097 410534968 560730688 718436194 821069936 1436872388 1642139872 2873744776 3284279744 5747489552 11494979104 22989958208