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38222807072 = 251721921072
BaseRepresentation
bin100011100110010000…
…011100000000100000
310122122210221210010012
4203212100130000200
51111240014311242
625320451224052
72522124333212
oct434620340040
9118583853105
1038222807072
111523486175a
1274a88a8028
1337b1b19508
141bc85505b2
15eda986282
hex8e641c020

38222807072 has 162 divisors, whose sum is σ = 85162619997. Its totient is φ = 16881251328.

The previous prime is 38222807069. The next prime is 38222807083. The reversal of 38222807072 is 27070822283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 34982465296 + 3240341776 = 187036^2 + 56924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=138244.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 357222443 + ... + 357222549.

Almost surely, 238222807072 is an apocalyptic number.

38222807072 is a gapful number since it is divisible by the number (32) 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 38222807072

38222807072 is an abundant number, since it is smaller than the sum of its proper divisors (46939812925).

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

38222807072 is a wasteful number, since it uses less digits than its factorization.

38222807072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 38222807072 in words is "thirty-eight billion, two hundred twenty-two million, eight hundred seven thousand, seventy-two".