Search a number
-
+
13222614240 = 2532511834761
BaseRepresentation
bin11000101000010000…
…10001010011100000
31021010111200101210100
430110020101103200
5204034442123430
610024022302400
7645445236513
oct142410212340
937114611710
1013222614240
115675903870
122690287a00
1313295462c4
148d6156d7a
15525c76960
hex3142114e0

13222614240 has 144 divisors (see below), whose sum is σ = 49224245616. Its totient is φ = 3205478400.

The previous prime is 13222614227. The next prime is 13222614241. The reversal of 13222614240 is 4241622231.

13222614240 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 614 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222614241) 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 23 ways as a sum of consecutive naturals, for example, 401541 + ... + 433220.

It is an arithmetic number, because the mean of its divisors is an integer number (341835039).

Almost surely, 213222614240 is an apocalyptic number.

13222614240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222614240 is an abundant number, since it is smaller than the sum of its proper divisors (36001631376).

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

13222614240 is a wasteful number, since it uses less digits than its factorization.

13222614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834793 (or 834782 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 13222614240 in words is "thirteen billion, two hundred twenty-two million, six hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 834761 1669522 2504283 3339044 4173805 5008566 6678088 7512849 8347610 9182371 10017132 12521415 13356176 15025698 16695220 18364742 20034264 25042830 26712352 27547113 30051396 33390440 36729484 37564245 40068528 45911855 50085660 55094226 60102792 66780880 73458968 75128490 80137056 82641339 91823710 100171320 110188452 120205584 133561760 137735565 146917936 150256980 165282678 183647420 200342640 220376904 240411168 275471130 293835872 300513960 330565356 367294840 400685280 413206695 440753808 550942260 601027920 661130712 734589680 826413390 881507616 1101884520 1202055840 1322261424 1469179360 1652826780 2203769040 2644522848 3305653560 4407538080 6611307120 13222614240