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13204045224 = 233431365101
BaseRepresentation
bin11000100110000010…
…11011110110101000
31021002012201222220000
430103001123312220
5204020213421344
610022120303000
7645131350446
oct142301336650
937065658800
1013204045224
115666380677
122686011a60
131325744316
148d38c1b96
15524309a69
hex31305bda8

13204045224 has 80 divisors (see below), whose sum is σ = 37102280820. Its totient is φ = 4387219200.

The previous prime is 13204045223. The next prime is 13204045247. The reversal of 13204045224 is 42254040231.

13204045224 is a `hidden beast` number, since 1 + 3 + 204 + 0 + 452 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12863642724 + 340402500 = 113418^2 + 18450^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13204045223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170274 + ... + 235374.

Almost surely, 213204045224 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 13204045224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551140410).

13204045224 is an abundant number, since it is smaller than the sum of its proper divisors (23898235596).

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

13204045224 is a wasteful number, since it uses less digits than its factorization.

13204045224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65432 (or 65419 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13204045224 its reverse (42254040231), we get a palindrome (55458085455).

The spelling of 13204045224 in words is "thirteen billion, two hundred four million, forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 313 324 626 648 939 1252 1878 2504 2817 3756 5634 7512 8451 11268 16902 22536 25353 33804 50706 65101 67608 101412 130202 195303 202824 260404 390606 520808 585909 781212 1171818 1562424 1757727 2343636 3515454 4687272 5273181 7030908 10546362 14061816 20376613 21092724 40753226 42185448 61129839 81506452 122259678 163012904 183389517 244519356 366779034 489038712 550168551 733558068 1100337102 1467116136 1650505653 2200674204 3301011306 4401348408 6602022612 13204045224