Search a number
-
+
23301132000 = 253535336637
BaseRepresentation
bin10101101100110110…
…110000111011100000
32020010220012011000220
4111230312300323200
5340210042211000
614412052043040
71453265232306
oct255466607340
966126164026
1023301132000
119977977393
124623603480
132274595293
1411b08b8276
159159941a0
hex56cdb0ee0

23301132000 has 192 divisors, whose sum is σ = 77776905024. Its totient is φ = 6096230400.

The previous prime is 23301131981. The next prime is 23301132007. The reversal of 23301132000 is 23110332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301132007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617682 + ... + 654318.

It is an arithmetic number, because the mean of its divisors is an integer number (405088047).

Almost surely, 223301132000 is an apocalyptic number.

23301132000 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 23301132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38888452512).

23301132000 is an abundant number, since it is smaller than the sum of its proper divisors (54475773024).

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

23301132000 is a wasteful number, since it uses less digits than its factorization.

23301132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36718 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23301132000 its reverse (23110332), we get a palindrome (23324242332).

The spelling of 23301132000 in words is "twenty-three billion, three hundred one million, one hundred thirty-two thousand".