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23225315152 = 24131947912269
BaseRepresentation
bin10101101000010101…
…100010111101010000
32012221121112020212111
4111220111202331100
5340031140041102
614400343035104
71451354631034
oct255025427520
965847466774
1023225315152
1199390a3036
12460213ba94
13226196ac40
1411a47c01c4
1590deb9cd7
hex568562f50

23225315152 has 80 divisors (see below), whose sum is σ = 51121728000. Its totient is φ = 10133171712.

The previous prime is 23225315147. The next prime is 23225315159. The reversal of 23225315152 is 25151352232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23225315159) 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, 1886874 + ... + 1899142.

It is an arithmetic number, because the mean of its divisors is an integer number (639021600).

Almost surely, 223225315152 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 23225315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25560864000).

23225315152 is an abundant number, since it is smaller than the sum of its proper divisors (27896412848).

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

23225315152 is a wasteful number, since it uses less digits than its factorization.

23225315152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12782 counting only the distinct ones).

The product of its digits is 18000, while the sum is 31.

Adding to 23225315152 its reverse (25151352232), we get a palindrome (48376667384).

The spelling of 23225315152 in words is "twenty-three billion, two hundred twenty-five million, three hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 479 494 958 988 1916 1976 3832 3952 6227 7664 9101 12269 12454 18202 24538 24908 36404 49076 49816 72808 98152 99632 118313 145616 159497 196304 233111 236626 318994 466222 473252 637988 932444 946504 1275976 1864888 1893008 2551952 3030443 3729776 5876851 6060886 11753702 12121772 23507404 24243544 47014808 48487088 76399063 94029616 111660169 152798126 223320338 305596252 446640676 611192504 893281352 1222385008 1451582197 1786562704 2903164394 5806328788 11612657576 23225315152