Search a number
-
+
213416642232 = 23322964120031
BaseRepresentation
bin1100011011000010011…
…1111000011010111000
3202101212101001201122200
43012300213320122320
511444034130022412
6242013043150200
721263443346013
oct3066047703270
9671771051580
10213416642232
1182567149082
1235440975360
1317181b0b431
14a487d0437a
1558412759dc
hex31b09f86b8

213416642232 has 24 divisors (see below), whose sum is σ = 578003406240. Its totient is φ = 71138880720.

The previous prime is 213416642183. The next prime is 213416642293. The reversal of 213416642232 is 232246614312.

213416642232 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 1 + 6 + 642 + 2 + 3 + 2 = 666.

213416642232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1482059944 + ... + 1482060087.

It is an arithmetic number, because the mean of its divisors is an integer number (24083475260).

Almost surely, 2213416642232 is an apocalyptic number.

It is an amenable number.

213416642232 is an abundant number, since it is smaller than the sum of its proper divisors (364586764008).

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

213416642232 is a wasteful number, since it uses less digits than its factorization.

213416642232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964120043 (or 2964120036 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 213416642232 in words is "two hundred thirteen billion, four hundred sixteen million, six hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2964120031 5928240062 8892360093 11856480124 17784720186 23712960248 26677080279 35569440372 53354160558 71138880744 106708321116 213416642232