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213233652 = 223217348421
BaseRepresentation
bin11001011010110…
…10111111110100
3112212020101120200
430231122333310
5414041434102
633054200500
75166312312
oct1455327764
9485211520
10213233652
11aa401665
125b4b3130
133523b978
14204690b2
1513ac051c
hexcb5aff4

213233652 has 36 divisors (see below), whose sum is σ = 570715236. Its totient is φ = 66896640.

The previous prime is 213233651. The next prime is 213233653. The reversal of 213233652 is 256332312.

213233652 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 3 + 652 = 666.

213233652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213233651) and next prime (213233653).

It can be written as a sum of positive squares in 2 ways, for example, as 93199716 + 120033936 = 9654^2 + 10956^2 .

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

It is a super-3 number, since 3×2132336523 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213233651) 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, 173599 + ... + 174822.

It is an arithmetic number, because the mean of its divisors is an integer number (15853201).

Almost surely, 2213233652 is an apocalyptic number.

It is an amenable number.

213233652 is an abundant number, since it is smaller than the sum of its proper divisors (357481584).

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

213233652 is a wasteful number, since it uses less digits than its factorization.

213233652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348448 (or 348443 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 213233652 is about 14602.5221109232. The cubic root of 213233652 is about 597.4275532920.

Adding to 213233652 its reverse (256332312), we get a palindrome (469565964).

The spelling of 213233652 in words is "two hundred thirteen million, two hundred thirty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 348421 696842 1045263 1393684 2090526 3135789 4181052 5923157 6271578 11846314 12543156 17769471 23692628 35538942 53308413 71077884 106616826 213233652