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232146216 = 23331074751
BaseRepresentation
bin11011101011001…
…00010100101000
3121011211020202000
431311210110220
5433412134331
635011411000
75516132061
oct1565442450
9534736660
10232146216
1110a049985
12658b3a60
1339131133
1422b8d568
15155a90e6
hexdd64528

232146216 has 32 divisors (see below), whose sum is σ = 644851200. Its totient is φ = 77382000.

The previous prime is 232146181. The next prime is 232146227. The reversal of 232146216 is 612641232.

232146216 is a `hidden beast` number, since 2 + 32 + 1 + 4 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 232146216.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 537160 + ... + 537591.

It is an arithmetic number, because the mean of its divisors is an integer number (20151600).

Almost surely, 2232146216 is an apocalyptic number.

It is an amenable number.

232146216 is an abundant number, since it is smaller than the sum of its proper divisors (412704984).

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

232146216 is a wasteful number, since it uses less digits than its factorization.

232146216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074766 (or 1074756 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 232146216 is about 15236.3452310585. The cubic root of 232146216 is about 614.5924247743.

Adding to 232146216 its reverse (612641232), we get a palindrome (844787448).

The spelling of 232146216 in words is "two hundred thirty-two million, one hundred forty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1074751 2149502 3224253 4299004 6448506 8598008 9672759 12897012 19345518 25794024 29018277 38691036 58036554 77382072 116073108 232146216