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22125130432 = 264710967481
BaseRepresentation
bin10100100110110000…
…101011001011000000
32010002221100002011021
4110212300223023000
5330303013133212
614055242155224
71412165335306
oct244660531300
963087302137
1022125130432
119424071a69
1243557b2b14
132117a54172
1410dc634276
158975e9307
hex526c2b2c0

22125130432 has 56 divisors (see below), whose sum is σ = 45250729920. Its totient is φ = 10727700480.

The previous prime is 22125130387. The next prime is 22125130483. The reversal of 22125130432 is 23403152122.

It is a junction number, because it is equal to n+sod(n) for n = 22125130397 and 22125130406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294132 + ... + 361612.

Almost surely, 222125130432 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 22125130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625364960).

22125130432 is an abundant number, since it is smaller than the sum of its proper divisors (23125599488).

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

22125130432 is a wasteful number, since it uses less digits than its factorization.

22125130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67649 (or 67639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 22125130432 its reverse (23403152122), we get a palindrome (45528282554).

The spelling of 22125130432 in words is "twenty-two billion, one hundred twenty-five million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 109 188 218 376 436 752 872 1504 1744 3008 3488 5123 6976 10246 20492 40984 67481 81968 134962 163936 269924 327872 539848 1079696 2159392 3171607 4318784 6343214 7355429 12686428 14710858 25372856 29421716 50745712 58843432 101491424 117686864 202982848 235373728 345705163 470747456 691410326 1382820652 2765641304 5531282608 11062565216 22125130432