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23224116564 = 22321158646759
BaseRepresentation
bin10101101000010000…
…111110010101010100
32012221112021100201100
4111220100332111110
5340030333212224
614400301230100
71451341506435
oct255020762524
965845240640
1023224116564
119938454570
124601862330
13226163b50c
1411a458b48c
1590dd2eac9
hex56843e554

23224116564 has 36 divisors (see below), whose sum is σ = 64042261920. Its totient is φ = 7037610960.

The previous prime is 23224116541. The next prime is 23224116569. The reversal of 23224116564 is 46561142232.

23224116564 is a `hidden beast` number, since 23 + 22 + 41 + 16 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23224116569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29322984 + ... + 29323775.

It is an arithmetic number, because the mean of its divisors is an integer number (1778951720).

Almost surely, 223224116564 is an apocalyptic number.

It is an amenable number.

23224116564 is an abundant number, since it is smaller than the sum of its proper divisors (40818145356).

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

23224116564 is a wasteful number, since it uses less digits than its factorization.

23224116564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58646780 (or 58646775 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 23224116564 its reverse (46561142232), we get a palindrome (69785258796).

The spelling of 23224116564 in words is "twenty-three billion, two hundred twenty-four million, one hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 58646759 117293518 175940277 234587036 351880554 527820831 645114349 703761108 1055641662 1290228698 1935343047 2111283324 2580457396 3870686094 5806029141 7741372188 11612058282 23224116564