Search a number
-
+
330320224242 = 232171079477857
BaseRepresentation
bin1001100111010001001…
…11101001111111110010
31011120121120210000012100
410303220213221333302
520402443434133432
6411425204441230
732602433402511
oct4635047517762
91146546700170
10330320224242
111180a7178568
12540276a9216
13251c2652cb8
1411db7d06678
1588d448e07c
hex4ce89e9ff2

330320224242 has 24 divisors (see below), whose sum is σ = 757793456316. Its totient is φ = 103629874176.

The previous prime is 330320224231. The next prime is 330320224277. The reversal of 330320224242 is 242422023033.

It is a happy number.

330320224242 is a `hidden beast` number, since 3 + 30 + 3 + 202 + 2 + 424 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330129535761 + 190688481 = 574569^2 + 13809^2 .

It is a super-2 number, since 2×3303202242422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539738623 + ... + 539739234.

Almost surely, 2330320224242 is an apocalyptic number.

330320224242 is an abundant number, since it is smaller than the sum of its proper divisors (427473232074).

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

330320224242 is a wasteful number, since it uses less digits than its factorization.

330320224242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079477882 (or 1079477879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 330320224242 its reverse (242422023033), we get a palindrome (572742247275).

The spelling of 330320224242 in words is "three hundred thirty billion, three hundred twenty million, two hundred twenty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1079477857 2158955714 3238433571 6476867142 9715300713 18351123569 19430601426 36702247138 55053370707 110106741414 165160112121 330320224242