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14222055264 = 253377950683
BaseRepresentation
bin11010011111011001…
…10101011101100000
31100201011022021010120
431033230311131200
5213111321232024
610311124000240
71012302321654
oct151754653540
940634267116
1014222055264
116038a8568a
12290ab30080
131458618c21
1498cb9aa64
15583897479
hex34fb35760

14222055264 has 96 divisors (see below), whose sum is σ = 38827998720. Its totient is φ = 4554081792.

The previous prime is 14222055259. The next prime is 14222055269. The reversal of 14222055264 is 46255022241.

It is an interprime number because it is at equal distance from previous prime (14222055259) and next prime (14222055269).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222055269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255267 + ... + 305949.

It is an arithmetic number, because the mean of its divisors is an integer number (404458320).

Almost surely, 214222055264 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 14222055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413999360).

14222055264 is an abundant number, since it is smaller than the sum of its proper divisors (24605943456).

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

14222055264 is a wasteful number, since it uses less digits than its factorization.

14222055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50812 (or 50804 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 14222055264 in words is "fourteen billion, two hundred twenty-two million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 79 96 111 148 158 222 237 296 316 444 474 592 632 888 948 1184 1264 1776 1896 2528 2923 3552 3792 5846 7584 8769 11692 17538 23384 35076 46768 50683 70152 93536 101366 140304 152049 202732 280608 304098 405464 608196 810928 1216392 1621856 1875271 2432784 3750542 4003957 4865568 5625813 7501084 8007914 11251626 12011871 15002168 16015828 22503252 24023742 30004336 32031656 45006504 48047484 60008672 64063312 90013008 96094968 128126624 148146409 180026016 192189936 296292818 384379872 444439227 592585636 888878454 1185171272 1777756908 2370342544 3555513816 4740685088 7111027632 14222055264