Search a number
-
+
23131224600 = 23352115389743
BaseRepresentation
bin10101100010101110…
…100111101000011000
32012201001110221220020
4111202232213220120
5334333043141400
614343142230440
71446133110411
oct254256475030
965631427806
1023131224600
11989aa78450
124596725420
132248316163
1411960ca808
15905ad12a0
hex562ba7a18

23131224600 has 384 divisors, whose sum is σ = 80705548800. Its totient is φ = 5432627200.

The previous prime is 23131224581. The next prime is 23131224619. The reversal of 23131224600 is 642213132.

It is an interprime number because it is at equal distance from previous prime (23131224581) and next prime (23131224619).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31131829 + ... + 31132571.

It is an arithmetic number, because the mean of its divisors is an integer number (210170700).

Almost surely, 223131224600 is an apocalyptic number.

23131224600 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 23131224600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40352774400).

23131224600 is an abundant number, since it is smaller than the sum of its proper divisors (57574324200).

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

23131224600 is a wasteful number, since it uses less digits than its factorization.

23131224600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23131224600 its reverse (642213132), we get a palindrome (23773437732).

The spelling of 23131224600 in words is "twenty-three billion, one hundred thirty-one million, two hundred twenty-four thousand, six hundred".