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22225130432 = 262941973011
BaseRepresentation
bin10100101100101110…
…001001001111000000
32010100220111121100222
4110230232021033000
5331004113133212
614113213402212
71414521330431
oct245456111700
963326447328
1022225130432
11947556349a
124383199368
13213269796b
14110ba25488
158a129dc72
hex52cb893c0

22225130432 has 112 divisors (see below), whose sum is σ = 47234063520. Its totient is φ = 10356326400.

The previous prime is 22225130423. The next prime is 22225130441. The reversal of 22225130432 is 23403152222.

It is an interprime number because it is at equal distance from previous prime (22225130423) and next prime (22225130441).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379807 + ... + 7382817.

It is an arithmetic number, because the mean of its divisors is an integer number (421732710).

Almost surely, 222225130432 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 22225130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617031760).

22225130432 is an abundant number, since it is smaller than the sum of its proper divisors (25008933088).

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

22225130432 is a wasteful number, since it uses less digits than its factorization.

22225130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 22225130432 its reverse (23403152222), we get a palindrome (45628282654).

The spelling of 22225130432 in words is "twenty-two billion, two hundred twenty-five million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 97 116 164 194 232 328 388 464 656 776 928 1189 1312 1552 1856 2378 2624 2813 3011 3104 3977 4756 5626 6022 6208 7954 9512 11252 12044 15908 19024 22504 24088 31816 38048 45008 48176 63632 76096 87319 90016 96352 115333 123451 127264 174638 180032 192704 230666 246902 254528 292067 349276 461332 493804 584134 698552 922664 987608 1168268 1397104 1845328 1975216 2336536 2794208 3580079 3690656 3950432 4673072 5588416 7160158 7381312 7900864 8469943 9346144 11974747 14320316 16939886 18692288 23949494 28640632 33879772 47898988 57281264 67759544 95797976 114562528 135519088 191595952 229125056 271038176 347267663 383191904 542076352 694535326 766383808 1389070652 2778141304 5556282608 11112565216 22225130432