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12422000384 = 28347139837
BaseRepresentation
bin10111001000110100…
…01010111100000000
31012001201012000001022
423210122022330000
5200420013003014
65412342325012
7616554155363
oct134432127400
935051160038
1012422000384
1152a4993822
1224a8129768
13122c709bb1
1485baac0da
154ca82ca8e
hex2e468af00

12422000384 has 36 divisors (see below), whose sum is σ = 24867111864. Its totient is φ = 6193056768.

The previous prime is 12422000377. The next prime is 12422000387. The reversal of 12422000384 is 48300022421.

It is a super-2 number, since 2×124220003842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422000387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18914 + ... + 158750.

Almost surely, 212422000384 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 12422000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12433555932).

12422000384 is an abundant number, since it is smaller than the sum of its proper divisors (12445111480).

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

12422000384 is an equidigital number, since it uses as much as digits as its factorization.

12422000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140200 (or 140186 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 12422000384 in words is "twelve billion, four hundred twenty-two million, three hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 347 694 1388 2776 5552 11104 22208 44416 88832 139837 279674 559348 1118696 2237392 4474784 8949568 17899136 35798272 48523439 97046878 194093756 388187512 776375024 1552750048 3105500096 6211000192 12422000384