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213320233 = 7176129387
BaseRepresentation
bin11001011011100…
…00001000101001
3112212101210100101
430231300020221
5414102221413
633100105401
75200122610
oct1455601051
9485353311
10213320233
11aa460715
125b535261
133526c1b9
142048c877
1513adaedd
hexcb70229

213320233 has 16 divisors (see below), whose sum is σ = 262376064. Its totient is φ = 169263360.

The previous prime is 213320203. The next prime is 213320257. The reversal of 213320233 is 332023312.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-213320233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213320233.

It is not an unprimeable number, because it can be changed into a prime (213320203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7435 + ... + 21952.

It is an arithmetic number, because the mean of its divisors is an integer number (16398504).

Almost surely, 2213320233 is an apocalyptic number.

It is an amenable number.

213320233 is a deficient number, since it is larger than the sum of its proper divisors (49055831).

213320233 is a wasteful number, since it uses less digits than its factorization.

213320233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29472.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 213320233 is about 14605.4864006646. The cubic root of 213320233 is about 597.5084018123.

Adding to 213320233 its reverse (332023312), we get a palindrome (545343545).

It can be divided in two parts, 2133 and 20233, that added together give a triangular number (22366 = T211).

The spelling of 213320233 in words is "two hundred thirteen million, three hundred twenty thousand, two hundred thirty-three".

Divisors: 1 7 17 61 119 427 1037 7259 29387 205709 499579 1792607 3497053 12548249 30474319 213320233