Search a number
-
+
23150290944 = 211311834127
BaseRepresentation
bin10101100011110111…
…010110100000000000
32012202101100122000010
4111203313112200000
5334402433302234
614345103024520
71446454140414
oct254367264000
965671318003
1023150290944
1198aa810260
1245a0b9b140
13224c260611
141198850d44
159075ea6e9
hex563dd6800

23150290944 has 192 divisors, whose sum is σ = 68157573120. Its totient is φ = 6929039360.

The previous prime is 23150290939. The next prime is 23150291029. The reversal of 23150290944 is 44909205132.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×231502909442 (a number of 22 digits) contains 22 as substring.

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, 5607409 + ... + 5611535.

It is an arithmetic number, because the mean of its divisors is an integer number (354987360).

Almost surely, 223150290944 is an apocalyptic number.

23150290944 is a gapful number since it is divisible by the number (24) 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 23150290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078786560).

23150290944 is an abundant number, since it is smaller than the sum of its proper divisors (45007282176).

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

23150290944 is a wasteful number, since it uses less digits than its factorization.

23150290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 23150290944 in words is "twenty-three billion, one hundred fifty million, two hundred ninety thousand, nine hundred forty-four".