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22344032040 = 233511101167597
BaseRepresentation
bin10100110011110011…
…101101111100101000
32010200012020102201020
4110303303231330220
5331230033011130
614133102052440
71420464065361
oct246363557450
963605212636
1022344032040
119526694a90
1243b6b7a120
1321511c8945
14111d736b68
158ab938e10
hex533cedf28

22344032040 has 128 divisors (see below), whose sum is σ = 73850382720. Its totient is φ = 5363072000.

The previous prime is 22344032021. The next prime is 22344032047. The reversal of 22344032040 is 4023044322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22344032040.

It is not an unprimeable number, because it can be changed into a prime (22344032047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49522 + ... + 217118.

It is an arithmetic number, because the mean of its divisors is an integer number (576956115).

Almost surely, 222344032040 is an apocalyptic number.

22344032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36925191360).

22344032040 is an abundant number, since it is smaller than the sum of its proper divisors (51506350680).

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

22344032040 is a wasteful number, since it uses less digits than its factorization.

22344032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167723 (or 167719 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22344032040 its reverse (4023044322), we get a palindrome (26367076362).

The spelling of 22344032040 in words is "twenty-two billion, three hundred forty-four million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 167597 335194 502791 670388 837985 1005582 1340776 1675970 1843567 2011164 2513955 3351940 3687134 4022328 5027910 5530701 6703880 7374268 9217835 10055820 11061402 14748536 16927297 18435670 20111640 22122804 27653505 33854594 36871340 44245608 50781891 55307010 67709188 73742680 84636485 101563782 110614020 135418376 169272970 186200267 203127564 221228040 253909455 338545940 372400534 406255128 507818910 558600801 677091880 744801068 931001335 1015637820 1117201602 1489602136 1862002670 2031275640 2234403204 2793004005 3724005340 4468806408 5586008010 7448010680 11172016020 22344032040