Search a number
-
+
3220400232 = 233276389683
BaseRepresentation
bin1011111111110011…
…0110100001101000
322022102202021121200
42333330312201220
523043410301412
61251320204200
7142542643650
oct27774664150
98272667550
103220400232
1114029173a5
1275a609660
133c426218a
142279b9360
1513cacc9dc
hexbff36868

3220400232 has 48 divisors (see below), whose sum is σ = 9967907040. Its totient is φ = 920114208.

The previous prime is 3220400213. The next prime is 3220400237. The reversal of 3220400232 is 2320040223.

3220400232 is a `hidden beast` number, since 32 + 2 + 0 + 400 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3220400237) 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, 3194338 + ... + 3195345.

It is an arithmetic number, because the mean of its divisors is an integer number (207664730).

Almost surely, 23220400232 is an apocalyptic number.

It is an amenable number.

3220400232 is an abundant number, since it is smaller than the sum of its proper divisors (6747506808).

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

3220400232 is a wasteful number, since it uses less digits than its factorization.

3220400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389702 (or 6389695 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3220400232 is about 56748.5703079822. The cubic root of 3220400232 is about 1476.7374308774.

Adding to 3220400232 its reverse (2320040223), we get a palindrome (5540440455).

The spelling of 3220400232 in words is "three billion, two hundred twenty million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 6389683 12779366 19169049 25558732 38338098 44727781 51117464 57507147 76676196 89455562 115014294 134183343 153352392 178911124 230028588 268366686 357822248 402550029 460057176 536733372 805100058 1073466744 1610200116 3220400232