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22540013221224 = 2335991667940547
BaseRepresentation
bin1010010000000000000010…
…11110110011010101101000
32221210210201021110022110210
411020000001132303111220
510423243421341034344
6115534423352341120
74514314353124062
oct510000136632550
987723637408423
1022540013221224
117200190934694
1226404a49a47a0
13c7668b6c7225
1457cd2a180732
152914b66e0db9
hex1480017b3568

22540013221224 has 64 divisors (see below), whose sum is σ = 56478026304000. Its totient is φ = 7496287058624.

The previous prime is 22540013221147. The next prime is 22540013221247. The reversal of 22540013221224 is 42212231004522.

It is a junction number, because it is equal to n+sod(n) for n = 22540013221191 and 22540013221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23494519 + ... + 24435065.

It is an arithmetic number, because the mean of its divisors is an integer number (882469161000).

Almost surely, 222540013221224 is an apocalyptic number.

22540013221224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22540013221224 is an abundant number, since it is smaller than the sum of its proper divisors (33938013082776).

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

22540013221224 is a wasteful number, since it uses less digits than its factorization.

22540013221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942822 (or 942818 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22540013221224 its reverse (42212231004522), we get a palindrome (64752244225746).

The spelling of 22540013221224 in words is "twenty-two trillion, five hundred forty billion, thirteen million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 599 1198 1667 1797 2396 3334 3594 4792 5001 6668 7188 10002 13336 14376 20004 40008 940547 998533 1881094 1997066 2821641 2995599 3762188 3994132 5643282 5991198 7524376 7988264 11286564 11982396 22573128 23964792 563387653 1126775306 1567891849 1690162959 2253550612 3135783698 3380325918 4507101224 4703675547 6271567396 6760651836 9407351094 12543134792 13521303672 18814702188 37629404376 939167217551 1878334435102 2817501652653 3756668870204 5635003305306 7513337740408 11270006610612 22540013221224