Search a number
-
+
53520222132 = 223213114359449
BaseRepresentation
bin110001110110000011…
…011100011110110100
312010010220201222120100
4301312003130132310
51334102134102012
640330432034100
73603165245016
oct616603343664
9163126658510
1053520222132
1120774852043
12a457992930
13507c1698c0
14283a0741b6
1515d39488dc
hexc760dc7b4

53520222132 has 36 divisors (see below), whose sum is σ = 145693939300. Its totient is φ = 16467760512.

The previous prime is 53520222101. The next prime is 53520222139. The reversal of 53520222132 is 23122202535.

53520222132 is a `hidden beast` number, since 5 + 3 + 520 + 2 + 2 + 2 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5680033956 + 47840188176 = 75366^2 + 218724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 53520222096 and 53520222105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53520222139) 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 11 ways as a sum of consecutive naturals, for example, 57179257 + ... + 57180192.

Almost surely, 253520222132 is an apocalyptic number.

53520222132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

53520222132 is an abundant number, since it is smaller than the sum of its proper divisors (92173717168).

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

53520222132 is a wasteful number, since it uses less digits than its factorization.

53520222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114359472 (or 114359467 counting only the distinct ones).

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

Adding to 53520222132 its reverse (23122202535), we get a palindrome (76642424667).

The spelling of 53520222132 in words is "fifty-three billion, five hundred twenty million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 114359449 228718898 343078347 457437796 686156694 1029235041 1372313388 1486672837 2058470082 2973345674 4116940164 4460018511 5946691348 8920037022 13380055533 17840074044 26760111066 53520222132