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3131220224 = 28113135869
BaseRepresentation
bin1011101010100010…
…1010000100000000
322002012221110122102
42322220222010000
522403043021344
61234412525532
7140410634636
oct27250520400
98065843572
103131220224
111367546110
127347808a8
133ab939542
14219c03356
15134d63e4e
hexbaa2a100

3131220224 has 72 divisors (see below), whose sum is σ = 7038554880. Its totient is φ = 1377331200.

The previous prime is 3131220187. The next prime is 3131220233. The reversal of 3131220224 is 4220221313.

It is a super-2 number, since 2×31312202242 = 19609080182373220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131220196 and 3131220205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69362 + ... + 105230.

Almost surely, 23131220224 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 3131220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519277440).

3131220224 is an abundant number, since it is smaller than the sum of its proper divisors (3907334656).

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

3131220224 is a wasteful number, since it uses less digits than its factorization.

3131220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35927 (or 35913 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3131220224 is about 55957.3071546514. The cubic root of 3131220224 is about 1462.9782552953.

Adding to 3131220224 its reverse (4220221313), we get a palindrome (7351441537).

The spelling of 3131220224 in words is "three billion, one hundred thirty-one million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 35869 43648 71738 87296 143476 286952 394559 573904 789118 1111939 1147808 1578236 2223878 2295616 3156472 4447756 4591232 6312944 8895512 9182464 12231329 12625888 17791024 24462658 25251776 35582048 48925316 50503552 71164096 97850632 101007104 142328192 195701264 284656384 391402528 782805056 1565610112 3131220224