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23415421200 = 24352533471061
BaseRepresentation
bin10101110011101010…
…101111100100010000
32020102212020122100020
4111303222233210100
5340423321434300
614431253423440
71456153540053
oct256352574420
966385218306
1023415421200
119a26438576
12465593ab80
13229216ca22
1411c1b48a9a
15920a1c8a0
hex573aaf910

23415421200 has 240 divisors, whose sum is σ = 76715107776. Its totient is φ = 6102886400.

The previous prime is 23415421097. The next prime is 23415421207. The reversal of 23415421200 is 212451432.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (23415421207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22068670 + ... + 22069730.

Almost surely, 223415421200 is an apocalyptic number.

23415421200 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 23415421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38357553888).

23415421200 is an abundant number, since it is smaller than the sum of its proper divisors (53299686576).

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

23415421200 is a wasteful number, since it uses less digits than its factorization.

23415421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 23415421200 its reverse (212451432), we get a palindrome (23627872632).

The spelling of 23415421200 in words is "twenty-three billion, four hundred fifteen million, four hundred twenty-one thousand, two hundred".