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232220417 = 11213147629
BaseRepresentation
bin11011101011101…
…10011100000001
3121011222000112012
431311312130001
5433422023132
635013142305
75516561312
oct1565663401
9534860465
10232220417
1110a09a700
126592a995
1339158b40
1422bac609
15155c10b2
hexdd76701

232220417 has 12 divisors (see below), whose sum is σ = 274887060. Its totient is φ = 194868960.

The previous prime is 232220393. The next prime is 232220419. The reversal of 232220417 is 714022232.

232220417 = 292 + 302 + ... + 8862.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27415696 + 204804721 = 5236^2 + 14311^2 .

It is not a de Polignac number, because 232220417 - 26 = 232220353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232220392 and 232220401.

It is not an unprimeable number, because it can be changed into a prime (232220419) 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, 72242 + ... + 75387.

It is an arithmetic number, because the mean of its divisors is an integer number (22907255).

Almost surely, 2232220417 is an apocalyptic number.

It is an amenable number.

232220417 is a deficient number, since it is larger than the sum of its proper divisors (42666643).

232220417 is a wasteful number, since it uses less digits than its factorization.

232220417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147664 (or 147653 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 232220417 is about 15238.7800364727. The cubic root of 232220417 is about 614.6578986172.

Adding to 232220417 its reverse (714022232), we get a palindrome (946242649).

The spelling of 232220417 in words is "two hundred thirty-two million, two hundred twenty thousand, four hundred seventeen".

Divisors: 1 11 13 121 143 1573 147629 1623919 1919177 17863109 21110947 232220417