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1320314226 = 2371141431621
BaseRepresentation
bin100111010110010…
…0110010101110010
310102000101220121220
41032230212111302
510201000023401
6335002525510
744501325420
oct11654462562
93360356556
101320314226
11618312690
1230a206896
131806cb42a
14c74cc110
157ada4336
hex4eb26572

1320314226 has 128 divisors (see below), whose sum is σ = 3453069312. Its totient is φ = 326592000.

The previous prime is 1320314207. The next prime is 1320314227. The reversal of 1320314226 is 6224130231.

It is a junction number, because it is equal to n+sod(n) for n = 1320314196 and 1320314205.

It is not an unprimeable number, because it can be changed into a prime (1320314227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 813696 + ... + 815316.

It is an arithmetic number, because the mean of its divisors is an integer number (26977104).

Almost surely, 21320314226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320314226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726534656).

1320314226 is an abundant number, since it is smaller than the sum of its proper divisors (2132755086).

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

1320314226 is a wasteful number, since it uses less digits than its factorization.

1320314226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1320314226 is about 36336.1283848458. The cubic root of 1320314226 is about 1097.0483474605.

Adding to 1320314226 its reverse (6224130231), we get a palindrome (7544444457).

The spelling of 1320314226 in words is "one billion, three hundred twenty million, three hundred fourteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 41 42 43 66 77 82 86 123 129 154 231 246 258 287 301 451 462 473 574 602 861 902 903 946 1353 1419 1621 1722 1763 1806 2706 2838 3157 3242 3311 3526 4863 5289 6314 6622 9471 9726 9933 10578 11347 12341 17831 18942 19393 19866 22694 24682 34041 35662 37023 38786 53493 58179 66461 68082 69703 74046 106986 116358 124817 132922 135751 139406 199383 209109 249634 271502 374451 398766 407253 418218 465227 487921 731071 748902 766733 814506 930454 975842 1395681 1462142 1463763 1533466 2193213 2300199 2791362 2857823 2927526 4386426 4600398 5117497 5367131 5715646 8573469 10234994 10734262 15352491 16101393 17146938 20004761 30704982 31436053 32202786 40009522 60014283 62872106 94308159 120028566 188616318 220052371 440104742 660157113 1320314226