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22441311232 = 210231934937
BaseRepresentation
bin10100111001100110…
…110011110000000000
32010220222021201200021
4110321212303300000
5331424433424412
614150455103224
71423054666234
oct247146636000
963828251607
1022441311232
11957659830a
124423671b14
1321683c8bb2
14112c61a5c4
158b5252607
hex5399b3c00

22441311232 has 88 divisors (see below), whose sum is σ = 47063248416. Its totient is φ = 10675027968.

The previous prime is 22441311157. The next prime is 22441311247. The reversal of 22441311232 is 23211314422.

It is a super-2 number, since 2×224413112322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22441311197 and 22441311206.

It is a congruent number.

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, 4543068 + ... + 4548004.

Almost surely, 222441311232 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 22441311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23531624208).

22441311232 is an abundant number, since it is smaller than the sum of its proper divisors (24621937184).

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

22441311232 is a wasteful number, since it uses less digits than its factorization.

22441311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5155 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

Adding to 22441311232 its reverse (23211314422), we get a palindrome (45652625654).

The spelling of 22441311232 in words is "twenty-two billion, four hundred forty-one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 193 256 368 386 512 736 772 1024 1472 1544 2944 3088 4439 4937 5888 6176 8878 9874 11776 12352 17756 19748 23552 24704 35512 39496 49408 71024 78992 98816 113551 142048 157984 197632 227102 284096 315968 454204 568192 631936 908408 952841 1136384 1263872 1816816 1905682 2272768 2527744 3633632 3811364 4545536 5055488 7267264 7622728 14534528 15245456 21915343 29069056 30490912 43830686 58138112 60981824 87661372 116276224 121963648 175322744 243927296 350645488 487854592 701290976 975709184 1402581952 2805163904 5610327808 11220655616 22441311232