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23145302400 = 27352111491471
BaseRepresentation
bin10101100011100100…
…010100100110000000
32012202000222012000020
4111203210110212000
5334400144134100
614344404053440
71446363552513
oct254344244600
965660865006
1023145302400
1198a7a132a0
12459b394280
13224b204b0c
141197d12d7a
15906e625a0
hex563914980

23145302400 has 384 divisors, whose sum is σ = 83780352000. Its totient is φ = 5569536000.

The previous prime is 23145302357. The next prime is 23145302441. The reversal of 23145302400 is 420354132.

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15733665 + ... + 15735135.

It is an arithmetic number, because the mean of its divisors is an integer number (218178000).

Almost surely, 223145302400 is an apocalyptic number.

23145302400 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 23145302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41890176000).

23145302400 is an abundant number, since it is smaller than the sum of its proper divisors (60635049600).

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

23145302400 is a wasteful number, since it uses less digits than its factorization.

23145302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 23145302400 its reverse (420354132), we get a palindrome (23565656532).

The spelling of 23145302400 in words is "twenty-three billion, one hundred forty-five million, three hundred two thousand, four hundred".