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221334133540 = 22513851285129
BaseRepresentation
bin1100111000100010001…
…0101101101100100100
3210011022011012221220111
43032020202231230210
512111243014233130
6245402434342404
721663603044032
oct3161042555444
9704264187814
10221334133540
118595a391523
1236a9042aa04
1317b44223330
14a9d9651552
155b563c402a
hex33888adb24

221334133540 has 24 divisors (see below), whose sum is σ = 500555656440. Its totient is φ = 81723372288.

The previous prime is 221334133511. The next prime is 221334133571. The reversal of 221334133540 is 45331433122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4425974784 + 216908158756 = 66528^2 + 465734^2 .

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 7 ways as a sum of consecutive naturals, for example, 425642305 + ... + 425642824.

It is an arithmetic number, because the mean of its divisors is an integer number (20856485685).

Almost surely, 2221334133540 is an apocalyptic number.

221334133540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221334133540 is an abundant number, since it is smaller than the sum of its proper divisors (279221522900).

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

221334133540 is a wasteful number, since it uses less digits than its factorization.

221334133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851285151 (or 851285149 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 221334133540 its reverse (45331433122), we get a palindrome (266665566662).

The spelling of 221334133540 in words is "two hundred twenty-one billion, three hundred thirty-four million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 851285129 1702570258 3405140516 4256425645 8512851290 11066706677 17025702580 22133413354 44266826708 55333533385 110667066770 221334133540