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213301332 = 223210135849
BaseRepresentation
bin11001011011010…
…11100001010100
3112212100211102100
430231223201110
5414101120312
633055442100
75200013526
oct1455534124
9485324370
10213301332
11aa4484a2
125b526330
133526370a
1420485a16
1513ad55dc
hexcb6b854

213301332 has 36 divisors (see below), whose sum is σ = 539802900. Its totient is φ = 71018112.

The previous prime is 213301331. The next prime is 213301339. The reversal of 213301332 is 233103312.

213301332 is a `hidden beast` number, since 2 + 1 + 330 + 1 + 332 = 666.

213301332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 190605636 = 4764^2 + 13806^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33544 + ... + 39392.

It is an arithmetic number, because the mean of its divisors is an integer number (14994525).

Almost surely, 2213301332 is an apocalyptic number.

It is an amenable number.

213301332 is an abundant number, since it is smaller than the sum of its proper divisors (326501568).

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

213301332 is a wasteful number, since it uses less digits than its factorization.

213301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213301332 is about 14604.8393349602. The cubic root of 213301332 is about 597.4907541038.

Adding to 213301332 its reverse (233103312), we get a palindrome (446404644).

The spelling of 213301332 in words is "two hundred thirteen million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1013 2026 3039 4052 5849 6078 9117 11698 12156 17547 18234 23396 35094 36468 52641 70188 105282 210564 5925037 11850074 17775111 23700148 35550222 53325333 71100444 106650666 213301332