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3133214238 = 2371123714153
BaseRepresentation
bin1011101011000001…
…0000111000011110
322002100200202220210
42322300100320132
522404100323423
61234523353250
7140433611250
oct27260207036
98070622823
103133214238
111368688260
12735382826
133ac18702b
1421a1a1cd0
15135109b93
hexbac10e1e

3133214238 has 128 divisors (see below), whose sum is σ = 8269185024. Its totient is φ = 767289600.

The previous prime is 3133214207. The next prime is 3133214243. The reversal of 3133214238 is 8324123313.

It is a super-2 number, since 2×31332142382 = 19634062922411841288, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 752370 + ... + 756522.

It is an arithmetic number, because the mean of its divisors is an integer number (64603008).

Almost surely, 23133214238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133214238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134592512).

3133214238 is an abundant number, since it is smaller than the sum of its proper divisors (5135970786).

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

3133214238 is a wasteful number, since it uses less digits than its factorization.

3133214238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270.

The product of its digits is 10368, while the sum is 30.

The square root of 3133214238 is about 55975.1215987960. The cubic root of 3133214238 is about 1463.2887391635.

The spelling of 3133214238 in words is "three billion, one hundred thirty-three million, two hundred fourteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 23 33 42 46 66 69 71 77 138 142 154 161 213 231 253 322 426 462 483 497 506 759 781 966 994 1491 1518 1562 1633 1771 2343 2982 3266 3542 4153 4686 4899 5313 5467 8306 9798 10626 10934 11431 12459 16401 17963 22862 24918 29071 32802 34293 35926 45683 53889 58142 68586 87213 91366 95519 107778 125741 137049 174426 191038 251482 274098 286557 294863 319781 377223 573114 589726 639562 668633 754446 884589 959343 1050709 1337266 1769178 1918686 2005899 2064041 2101418 3152127 3243493 4011798 4128082 6192123 6304254 6486986 6781849 7354963 9730479 12384246 13563698 14709926 19460958 20345547 22064889 22704451 40691094 44129778 45408902 47472943 68113353 74600339 94945886 136226706 142418829 149200678 223801017 284837658 447602034 522202373 1044404746 1566607119 3133214238