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23472212400 = 24345271319419
BaseRepresentation
bin10101110111000011…
…011000100110110000
32020120211002221020000
4111313003120212300
5341032341244100
614441042550000
71460443341060
oct256703304660
966524087200
1023472212400
119a554a764a
124670968300
1322a0b652a0
1411c94cd3a0
159259d9900
hex5770d89b0

23472212400 has 1200 divisors, whose sum is σ = 109397164800. Its totient is φ = 4680529920.

The previous prime is 23472212399. The next prime is 23472212447. The reversal of 23472212400 is 421227432.

23472212400 is a `hidden beast` number, since 2 + 3 + 47 + 2 + 212 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 56019391 + ... + 56019809.

It is an arithmetic number, because the mean of its divisors is an integer number (91164304).

Almost surely, 223472212400 is an apocalyptic number.

23472212400 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 23472212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54698582400).

23472212400 is an abundant number, since it is smaller than the sum of its proper divisors (85924952400).

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

23472212400 is a wasteful number, since it uses less digits than its factorization.

23472212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 23472212400 its reverse (421227432), we get a palindrome (23893439832).

The spelling of 23472212400 in words is "twenty-three billion, four hundred seventy-two million, two hundred twelve thousand, four hundred".