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22480794336000 = 2835371113233941
BaseRepresentation
bin1010001110010001101111…
…10000101011101100000000
32221121010212012200020202110
411013020313300223230000
510421311131322223000
6115451311230215320
74510120016655660
oct507106760535400
987533765606673
1022480794336000
117188062369730
122630b18654540
13c70c11a3a040
1457a10d33c1a0
1528eb9c834850
hex147237c2bb00

22480794336000 has 1152 divisors, whose sum is σ = 100256596457472. Its totient is φ = 4311982080000.

The previous prime is 22480794335983. The next prime is 22480794336131. The reversal of 22480794336000 is 63349708422.

It is a super-2 number, since 2×224807943360002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95979030 + ... + 96212970.

It is an arithmetic number, because the mean of its divisors is an integer number (87028295536).

Almost surely, 222480794336000 is an apocalyptic number.

22480794336000 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 22480794336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50128298228736).

22480794336000 is an abundant number, since it is smaller than the sum of its proper divisors (77775802121472).

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

22480794336000 is a wasteful number, since it uses less digits than its factorization.

22480794336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234006 (or 233982 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 22480794336000 in words is "twenty-two trillion, four hundred eighty billion, seven hundred ninety-four million, three hundred thirty-six thousand".