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1334225520 = 2435568633
BaseRepresentation
bin100111110000110…
…1010101001110000
310102222120200100000
41033201222221300
510213030204040
6340221030000
745030505215
oct11741525160
93388520300
101334225520
11625154421
123129b5300
1318355c374
14c92adb0c
157c201130
hex4f86aa70

1334225520 has 120 divisors (see below), whose sum is σ = 4646796336. Its totient is φ = 355788288.

The previous prime is 1334225483. The next prime is 1334225521. The reversal of 1334225520 is 255224331.

It is a happy number.

1334225520 is a `hidden beast` number, since 133 + 4 + 2 + 2 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334225521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14877 + ... + 53756.

Almost surely, 21334225520 is an apocalyptic number.

1334225520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334225520 is an abundant number, since it is smaller than the sum of its proper divisors (3312570816).

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

1334225520 is an equidigital number, since it uses as much as digits as its factorization.

1334225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68661 (or 68643 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1334225520 is about 36527.0518930833. The cubic root of 1334225520 is about 1100.8878561839.

Adding to 1334225520 its reverse (255224331), we get a palindrome (1589449851).

The spelling of 1334225520 in words is "one billion, three hundred thirty-four million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 68633 137266 205899 274532 343165 411798 549064 617697 686330 823596 1029495 1098128 1235394 1372660 1647192 1853091 2058990 2470788 2745320 3088485 3294384 3706182 4117980 4941576 5490640 5559273 6176970 7412364 8235960 9265455 9883152 11118546 12353940 14824728 16471920 16677819 18530910 22237092 24707880 27796365 29649456 33355638 37061820 44474184 49415760 55592730 66711276 74123640 83389095 88948368 111185460 133422552 148247280 166778190 222370920 266845104 333556380 444741840 667112760 1334225520