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23204316564 = 223411131812767
BaseRepresentation
bin10101100111000101…
…011100010110010100
32012220011000102020000
4111213011130112110
5340010301112224
614354313011300
71451011302462
oct254705342624
965804012200
1023204316564
119928260530
1245b70b3b30
13225a4c8140
1411a1ab5832
1590c21d0c9
hex56715c594

23204316564 has 240 divisors, whose sum is σ = 71685309696. Its totient is φ = 6452524800.

The previous prime is 23204316547. The next prime is 23204316587. The reversal of 23204316564 is 46561340232.

23204316564 is a `hidden beast` number, since 23 + 20 + 43 + 16 + 564 = 666.

It is a super-4 number, since 4×232043165644 (a number of 43 digits) contains 4444 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 8384709 + ... + 8387475.

Almost surely, 223204316564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23204316564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35842654848).

23204316564 is an abundant number, since it is smaller than the sum of its proper divisors (48480993132).

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

23204316564 is a wasteful number, since it uses less digits than its factorization.

23204316564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 23204316564 its reverse (46561340232), we get a palindrome (69765656796).

The spelling of 23204316564 in words is "twenty-three billion, two hundred four million, three hundred sixteen thousand, five hundred sixty-four".