Search a number
-
+
23630369400 = 233252117915107
BaseRepresentation
bin10110000000011110…
…101101001001111000
32020222211201010211200
4112000132231021320
5341343333310100
614504452454200
71464403553151
oct260036551170
966884633750
1023630369400
11a026800310
1246b591a360
1322c785bc01
1412024dc928
1593482ae00
hex5807ad278

23630369400 has 288 divisors, whose sum is σ = 87674745600. Its totient is φ = 5655686400.

The previous prime is 23630369383. The next prime is 23630369417. The reversal of 23630369400 is 496303632.

It is an interprime number because it is at equal distance from previous prime (23630369383) and next prime (23630369417).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1556647 + ... + 1571753.

It is an arithmetic number, because the mean of its divisors is an integer number (304426200).

Almost surely, 223630369400 is an apocalyptic number.

23630369400 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 23630369400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43837372800).

23630369400 is an abundant number, since it is smaller than the sum of its proper divisors (64044376200).

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

23630369400 is a wasteful number, since it uses less digits than its factorization.

23630369400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15219 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 23630369400 in words is "twenty-three billion, six hundred thirty million, three hundred sixty-nine thousand, four hundred".