Search a number
-
+
23243013000 = 2332536142337
BaseRepresentation
bin10101101001011001…
…000011101110001000
32012222211211101202100
4111221121003232020
5340100202404000
614402214233400
71451661231204
oct255131035610
965884741670
1023243013000
119948090759
124608055860
13226552653c
1411a6ca9b04
15910813a00
hex569643b88

23243013000 has 192 divisors, whose sum is σ = 79851161520. Its totient is φ = 6096384000.

The previous prime is 23243012993. The next prime is 23243013011. The reversal of 23243013000 is 31034232.

23243013000 is a `hidden beast` number, since 232 + 430 + 1 + 3 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 70257924 + 23172755076 = 8382^2 + 152226^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 527832 + ... + 570168.

Almost surely, 223243013000 is an apocalyptic number.

23243013000 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 23243013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39925580760).

23243013000 is an abundant number, since it is smaller than the sum of its proper divisors (56608148520).

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

23243013000 is a wasteful number, since it uses less digits than its factorization.

23243013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42425 (or 42408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23243013000 its reverse (31034232), we get a palindrome (23274047232).

The spelling of 23243013000 in words is "twenty-three billion, two hundred forty-three million, thirteen thousand".