Search a number
-
+
643092228 = 223245739089
BaseRepresentation
bin100110010101001…
…100111100000100
31122211002110200200
4212111030330010
52304112422403
6143451410500
721636123312
oct4625147404
91584073620
10643092228
11300010789
1215b453a30
13a3305a5c
14615a30b2
153b6d0ca3
hex2654cf04

643092228 has 36 divisors (see below), whose sum is σ = 1629193020. Its totient is φ = 213889536.

The previous prime is 643092193. The next prime is 643092251. The reversal of 643092228 is 822290346.

643092228 is a `hidden beast` number, since 643 + 0 + 9 + 2 + 2 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 393704964 + 249387264 = 19842^2 + 15792^2 .

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

It is a super-2 number, since 2×6430922282 = 827135227428007968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 643092192 and 643092201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3093 + ... + 35996.

Almost surely, 2643092228 is an apocalyptic number.

It is an amenable number.

643092228 is an abundant number, since it is smaller than the sum of its proper divisors (986100792).

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

643092228 is a wasteful number, since it uses less digits than its factorization.

643092228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39556 (or 39551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 643092228 is about 25359.2631596425. The cubic root of 643092228 is about 863.1595640519.

The spelling of 643092228 in words is "six hundred forty-three million, ninety-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452 39089 78178 117267 156356 234534 351801 469068 703602 1407204 17863673 35727346 53591019 71454692 107182038 160773057 214364076 321546114 643092228