Search a number
-
+
22907361696 = 253299784827
BaseRepresentation
bin10101010101011000…
…101001100110100000
32012010110020112201120
4111111120221212200
5333403241033241
614305024132240
71440444235032
oct252530514640
965113215646
1022907361696
11979567698a
124533767080
132210b253bb
141174495c52
158e1111666
hex5556299a0

22907361696 has 96 divisors (see below), whose sum is σ = 62847368640. Its totient is φ = 7296393216.

The previous prime is 22907361691. The next prime is 22907361709. The reversal of 22907361696 is 69616370922.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22907361691) 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, 227635 + ... + 312461.

It is an arithmetic number, because the mean of its divisors is an integer number (654660090).

Almost surely, 222907361696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22907361696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31423684320).

22907361696 is an abundant number, since it is smaller than the sum of its proper divisors (39940006944).

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

22907361696 is a wasteful number, since it uses less digits than its factorization.

22907361696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84966 (or 84958 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 22907361696 in words is "twenty-two billion, nine hundred seven million, three hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 97 116 174 194 232 291 348 388 464 582 696 776 928 1164 1392 1552 2328 2784 2813 3104 4656 5626 8439 9312 11252 16878 22504 33756 45008 67512 84827 90016 135024 169654 254481 270048 339308 508962 678616 1017924 1357232 2035848 2459983 2714464 4071696 4919966 7379949 8143392 8228219 9839932 14759898 16456438 19679864 24684657 29519796 32912876 39359728 49369314 59039592 65825752 78719456 98738628 118079184 131651504 197477256 236158368 238618351 263303008 394954512 477236702 715855053 789909024 954473404 1431710106 1908946808 2863420212 3817893616 5726840424 7635787232 11453680848 22907361696