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22414115104 = 2559791031459
BaseRepresentation
bin10100110111111111…
…000100000100100000
32010212002010000121021
4110313333010010200
5331401003140404
614144044135224
71422304556233
oct246777040440
963762100537
1022414115104
119562202477
124416537514
132162896204
141128b7b41a
158b2b7e454
hex537fc4120

22414115104 has 96 divisors (see below), whose sum is σ = 45916416000. Its totient is φ = 10764658944.

The previous prime is 22414115093. The next prime is 22414115117. The reversal of 22414115104 is 40151141422.

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, 15361927 + ... + 15363385.

It is an arithmetic number, because the mean of its divisors is an integer number (478296000).

Almost surely, 222414115104 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 22414115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22958208000).

22414115104 is an abundant number, since it is smaller than the sum of its proper divisors (23502300896).

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

22414115104 is a wasteful number, since it uses less digits than its factorization.

22414115104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 22414115104 its reverse (40151141422), we get a palindrome (62565256526).

The spelling of 22414115104 in words is "twenty-two billion, four hundred fourteen million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 32 59 79 103 118 158 206 236 316 412 472 632 824 944 1264 1459 1648 1888 2528 2918 3296 4661 5836 6077 8137 9322 11672 12154 16274 18644 23344 24308 32548 37288 46688 48616 65096 74576 86081 97232 115261 130192 149152 150277 172162 194464 230522 260384 300554 344324 461044 480083 601108 688648 922088 960166 1202216 1377296 1844176 1920332 2404432 2754592 3688352 3840664 4808864 6800399 7681328 8866343 11871883 13600798 15362656 17732686 23743766 27201596 35465372 47487532 54403192 70930744 94975064 108806384 141861488 189950128 217612768 283722976 379900256 700441097 1400882194 2801764388 5603528776 11207057552 22414115104