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14322255420 = 223511175312379
BaseRepresentation
bin11010101011010110…
…00100011000111100
31100222010211221220110
431111223010120330
5213312444133140
610325103350020
71014630106464
oct152553043074
940863757813
1014322255420
11608a5a3530
1229385b2310
1314732cc865
1499c200ba4
1558c58b380
hex355ac463c

14322255420 has 96 divisors (see below), whose sum is σ = 43776472320. Its totient is φ = 3469800960.

The previous prime is 14322255413. The next prime is 14322255439. The reversal of 14322255420 is 2455222341.

14322255420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150791 + ... + 1163169.

It is an arithmetic number, because the mean of its divisors is an integer number (456004920).

Almost surely, 214322255420 is an apocalyptic number.

14322255420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14322255420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888236160).

14322255420 is an abundant number, since it is smaller than the sum of its proper divisors (29454216900).

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

14322255420 is a wasteful number, since it uses less digits than its factorization.

14322255420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14153 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 14322255420 its reverse (2455222341), we get a palindrome (16777477761).

The spelling of 14322255420 in words is "fourteen billion, three hundred twenty-two million, two hundred fifty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1753 3506 5259 7012 8765 10518 12379 17530 19283 21036 24758 26295 35060 37137 38566 49516 52590 57849 61895 74274 77132 96415 105180 115698 123790 136169 148548 185685 192830 231396 247580 272338 289245 371370 385660 408507 544676 578490 680845 742740 817014 1156980 1361690 1634028 2042535 2723380 4085070 8170140 21700387 43400774 65101161 86801548 108501935 130202322 217003870 238704257 260404644 325505805 434007740 477408514 651011610 716112771 954817028 1193521285 1302023220 1432225542 2387042570 2864451084 3580563855 4774085140 7161127710 14322255420