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3117212224 = 26729972
BaseRepresentation
bin1011100111001100…
…1110001001000000
322001020120210021121
42321303032021000
522341001242344
61233152402024
7140150603200
oct27163161100
98036523247
103117212224
11135a648755
1272bb46314
133a8a73599
14217dd8400
151339e8684
hexb9cce240

3117212224 has 63 divisors (see below), whose sum is σ = 7202855673. Its totient is φ = 1334608128.

The previous prime is 3117212221. The next prime is 3117212239. The reversal of 3117212224 is 4222127113.

The square root of 3117212224 is 55832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2683240000 + 433972224 = 51800^2 + 20832^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3117212221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3126094 + ... + 3127090.

Almost surely, 23117212224 is an apocalyptic number.

3117212224 is the 55832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117212224

3117212224 is an abundant number, since it is smaller than the sum of its proper divisors (4085643449).

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

3117212224 is an frugal number, since it uses more digits than its factorization.

3117212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 1006 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The cubic root of 3117212224 is about 1460.7933737638.

Multiplying 3117212224 by its sum of digits (25), we get a square (77930305600 = 2791602).

Adding to 3117212224 its reverse (4222127113), we get a palindrome (7339339337).

The spelling of 3117212224 in words is "three billion, one hundred seventeen million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 997 1568 1994 3136 3988 6979 7976 13958 15952 27916 31904 48853 55832 63808 97706 111664 195412 223328 390824 446656 781648 994009 1563296 1988018 3126592 3976036 6958063 7952072 13916126 15904144 27832252 31808288 48706441 55664504 63616576 97412882 111329008 194825764 222658016 389651528 445316032 779303056 1558606112 3117212224