Search a number
-
+
23146970000 = 2454711231307
BaseRepresentation
bin10101100011101010…
…101011101110010000
32012202011002220112012
4111203222223232100
5334401111020000
614344503522052
71446413666360
oct254352535620
965664086465
1023146970000
1198a8952180
12459ba59328
13224b669b6b
1411982289a0
15907191735
hex563aabb90

23146970000 has 400 divisors, whose sum is σ = 72963044352. Its totient is φ = 6895680000.

The previous prime is 23146969949. The next prime is 23146970003. The reversal of 23146970000 is 7964132.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23146970003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17709347 + ... + 17710653.

Almost surely, 223146970000 is an apocalyptic number.

23146970000 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 23146970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481522176).

23146970000 is an abundant number, since it is smaller than the sum of its proper divisors (49816074352).

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

23146970000 is a wasteful number, since it uses less digits than its factorization.

23146970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 23146970000 in words is "twenty-three billion, one hundred forty-six million, nine hundred seventy thousand".