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213233832 = 23327423083
BaseRepresentation
bin11001011010110…
…11000010101000
3112212020101211100
430231123002220
5414041440312
633054201400
75166312660
oct1455330250
9485211740
10213233832
11aa401809
125b4b3260
133523ba86
14204691a0
1513ac05dc
hexcb5b0a8

213233832 has 48 divisors (see below), whose sum is σ = 660011040. Its totient is φ = 60923808.

The previous prime is 213233821. The next prime is 213233837. The reversal of 213233832 is 238332312.

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

It is a junction number, because it is equal to n+sod(n) for n = 213233796 and 213233805.

It is not an unprimeable number, because it can be changed into a prime (213233837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211038 + ... + 212045.

It is an arithmetic number, because the mean of its divisors is an integer number (13750230).

Almost surely, 2213233832 is an apocalyptic number.

It is an amenable number.

213233832 is an abundant number, since it is smaller than the sum of its proper divisors (446777208).

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

213233832 is a wasteful number, since it uses less digits than its factorization.

213233832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423102 (or 423095 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 213233832 is about 14602.5282742407. The cubic root of 213233832 is about 597.4277213970.

The spelling of 213233832 in words is "two hundred thirteen million, two hundred thirty-three thousand, eight 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 423083 846166 1269249 1692332 2538498 2961581 3384664 3807747 5076996 5923162 7615494 8884743 10153992 11846324 15230988 17769486 23692648 26654229 30461976 35538972 53308458 71077944 106616916 213233832