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23213200520 = 2353193719979
BaseRepresentation
bin10101100111100111…
…010101010010001000
32012220202201202201102
4111213213111102020
5340020034404040
614355231240532
71451146643306
oct254747252210
965822652642
1023213200520
119932279144
1245ba079148
13225c2b8a13
1411a2d49276
1590cdc5515
hex5679d5488

23213200520 has 64 divisors (see below), whose sum is σ = 53974771200. Its totient is φ = 8975715840.

The previous prime is 23213200469. The next prime is 23213200529. The reversal of 23213200520 is 2500231232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23213200492 and 23213200501.

It is not an unprimeable number, because it can be changed into a prime (23213200529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1151891 + ... + 1171869.

It is an arithmetic number, because the mean of its divisors is an integer number (843355800).

Almost surely, 223213200520 is an apocalyptic number.

23213200520 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 23213200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26987385600).

23213200520 is an abundant number, since it is smaller than the sum of its proper divisors (30761570680).

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

23213200520 is a wasteful number, since it uses less digits than its factorization.

23213200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20954 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 23213200520 its reverse (2500231232), we get a palindrome (25713431752).

The spelling of 23213200520 in words is "twenty-three billion, two hundred thirteen million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 937 1240 1874 3748 4685 7496 9370 18740 19979 29047 37480 39958 58094 79916 99895 116188 145235 159832 199790 232376 290470 399580 580940 619349 799160 1161880 1238698 2477396 3096745 4954792 6193490 12386980 18720323 24773960 37440646 74881292 93601615 149762584 187203230 374406460 580330013 748812920 1160660026 2321320052 2901650065 4642640104 5803300130 11606600260 23213200520