Search a number
-
+
23076174000 = 243531117131157
BaseRepresentation
bin10101011111011100…
…100111100010110000
32012120012220002200010
4111133130213202300
5334230000032000
614333454254520
71444564146135
oct253734474260
965505802603
1023076174000
119871998090
1245801b7440
132239aacc39
14118ca7a58c
15900d59d50
hex55f7278b0

23076174000 has 640 divisors, whose sum is σ = 87142708224. Its totient is φ = 5191680000.

The previous prime is 23076173993. The next prime is 23076174113. The reversal of 23076174000 is 47167032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146981922 + ... + 146982078.

Almost surely, 223076174000 is an apocalyptic number.

23076174000 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 23076174000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43571354112).

23076174000 is an abundant number, since it is smaller than the sum of its proper divisors (64066534224).

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

23076174000 is a wasteful number, since it uses less digits than its factorization.

23076174000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 23076174000 in words is "twenty-three billion, seventy-six million, one hundred seventy-four thousand".