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3130204224 = 26376313691
BaseRepresentation
bin1011101010010011…
…0010000001000000
322002011000211221210
42322210302001000
522402313013344
61234335050120
7140366203560
oct27244620100
98064024853
103130204224
111366a11844
12734370940
133ab671c64
14219a1ada0
15134c12db9
hexba932040

3130204224 has 112 divisors (see below), whose sum is σ = 9482710016. Its totient is φ = 892684800.

The previous prime is 3130204223. The next prime is 3130204309. The reversal of 3130204224 is 4224020313.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 3130204224.

It is not an unprimeable number, because it can be changed into a prime (3130204223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 846219 + ... + 849909.

Almost surely, 23130204224 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 3130204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741355008).

3130204224 is an abundant number, since it is smaller than the sum of its proper divisors (6352505792).

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

3130204224 is a wasteful number, since it uses less digits than its factorization.

3130204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3130204224 is about 55948.2280684563. The cubic root of 3130204224 is about 1462.8200053060.

Adding to 3130204224 its reverse (4224020313), we get a palindrome (7354224537).

The spelling of 3130204224 in words is "three billion, one hundred thirty million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 631 672 1262 1344 1893 2524 3691 3786 4417 5048 7382 7572 8834 10096 11073 13251 14764 15144 17668 20192 22146 25837 26502 29528 30288 35336 40384 44292 51674 53004 59056 60576 70672 77511 88584 103348 106008 118112 121152 141344 155022 177168 206696 212016 236224 282688 310044 354336 413392 424032 620088 708672 826784 848064 1240176 1653568 2329021 2480352 4658042 4960704 6987063 9316084 13974126 16303147 18632168 27948252 32606294 37264336 48909441 55896504 65212588 74528672 97818882 111793008 130425176 149057344 195637764 223586016 260850352 391275528 447172032 521700704 782551056 1043401408 1565102112 3130204224