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23214659400 = 23335217435881
BaseRepresentation
bin10101100111101100…
…111001011101001000
32012220212110212221000
4111213230321131020
5340020423100100
614355322415000
71451165230512
oct254754713510
965825425830
1023214659400
119933085229
1245ba661460
13225c6a9a6a
1411a3208bb2
1590d0b2900
hex567b39748

23214659400 has 384 divisors, whose sum is σ = 86648918400. Its totient is φ = 5689958400.

The previous prime is 23214659389. The next prime is 23214659423. The reversal of 23214659400 is 495641232.

It is a happy number.

23214659400 is a `hidden beast` number, since 2 + 3 + 21 + 46 + 594 + 0 + 0 = 666.

It is a super-2 number, since 2×232146594002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3944460 + ... + 3950340.

It is an arithmetic number, because the mean of its divisors is an integer number (225648225).

Almost surely, 223214659400 is an apocalyptic number.

23214659400 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 23214659400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43324459200).

23214659400 is an abundant number, since it is smaller than the sum of its proper divisors (63434259000).

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

23214659400 is a wasteful number, since it uses less digits than its factorization.

23214659400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23214659400 in words is "twenty-three billion, two hundred fourteen million, six hundred fifty-nine thousand, four hundred".