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5313012224 = 29134119469
BaseRepresentation
bin1001111001010111…
…00010001000000000
3111201021100222121112
410330223202020000
541340112342344
62235112142452
7245442600362
oct47453421000
914637328545
105313012224
1122870697a3
121043397a28
13668964320
143858a0d32
15211685c9e
hex13cae2200

5313012224 has 80 divisors (see below), whose sum is σ = 11711672280. Its totient is φ = 2392227840.

The previous prime is 5313012223. The next prime is 5313012233. The reversal of 5313012224 is 4222103135.

It can be written as a sum of positive squares in 4 ways, for example, as 1859334400 + 3453677824 = 43120^2 + 58768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5313012224.

It is not an unprimeable number, because it can be changed into a prime (5313012223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263162 + ... + 282630.

Almost surely, 25313012224 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 5313012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855836140).

5313012224 is an abundant number, since it is smaller than the sum of its proper divisors (6398660056).

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

5313012224 is a wasteful number, since it uses less digits than its factorization.

5313012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19541 (or 19525 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5313012224 is about 72890.4124285218. The cubic root of 5313012224 is about 1744.9390896712.

Adding to 5313012224 its reverse (4222103135), we get a palindrome (9535115359).

The spelling of 5313012224 in words is "five billion, three hundred thirteen million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 512 533 656 832 1066 1312 1664 2132 2624 3328 4264 5248 6656 8528 10496 17056 19469 20992 34112 38938 68224 77876 136448 155752 253097 272896 311504 506194 623008 798229 1012388 1246016 1596458 2024776 2492032 3192916 4049552 4984064 6385832 8099104 9968128 10376977 12771664 16198208 20753954 25543328 32396416 41507908 51086656 64792832 83015816 102173312 129585664 166031632 204346624 332063264 408693248 664126528 1328253056 2656506112 5313012224