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23244421200 = 243527111337523
BaseRepresentation
bin10101101001011110…
…011011100001010000
32012222221110221102220
4111221132123201100
5340101032434300
614402304341040
71452006214560
oct255136334120
965887427386
1023244421200
119948962760
124608614780
1322658ca4b0
1411a7154da0
159109e0da0
hex56979b850

23244421200 has 960 divisors, whose sum is σ = 102872082432. Its totient is φ = 4329676800.

The previous prime is 23244421199. The next prime is 23244421201. The reversal of 23244421200 is 212444232.

It is an interprime number because it is at equal distance from previous prime (23244421199) and next prime (23244421201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23244421201) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 44444139 + ... + 44444661.

Almost surely, 223244421200 is an apocalyptic number.

23244421200 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 23244421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51436041216).

23244421200 is an abundant number, since it is smaller than the sum of its proper divisors (79627661232).

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

23244421200 is a wasteful number, since it uses less digits than its factorization.

23244421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23244421200 its reverse (212444232), we get a palindrome (23456865432).

It can be divided in two parts, 23244 and 421200, that added together give a palindrome (444444).

The spelling of 23244421200 in words is "twenty-three billion, two hundred forty-four million, four hundred twenty-one thousand, two hundred".