Search a number
-
+
23240436000 = 2535313611423
BaseRepresentation
bin10101101001001111…
…001110100100100000
32012222122222110202220
4111221033032210200
5340044022423000
614402043111040
71451630306115
oct255117164440
965878873686
1023240436000
119946690601
124607212480
132264b335a2
1411a67d890c
159104a51a0
hex5693ce920

23240436000 has 192 divisors, whose sum is σ = 76245152256. Its totient is φ = 6188544000.

The previous prime is 23240435989. The next prime is 23240436013. The reversal of 23240436000 is 63404232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16331289 + ... + 16332711.

It is an arithmetic number, because the mean of its divisors is an integer number (397110168).

Almost surely, 223240436000 is an apocalyptic number.

23240436000 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 23240436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38122576128).

23240436000 is an abundant number, since it is smaller than the sum of its proper divisors (53004716256).

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

23240436000 is a wasteful number, since it uses less digits than its factorization.

23240436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 23240436000 in words is "twenty-three billion, two hundred forty million, four hundred thirty-six thousand".