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232212401 = 171091131109
BaseRepresentation
bin11011101011101…
…00011110110001
3121011221121112022
431311310132301
5433421244101
635013041225
75516526041
oct1565643661
9534847468
10232212401
1110a094683
1265926215
13391552b5
1422ba9721
15155bda1b
hexdd747b1

232212401 has 16 divisors (see below), whose sum is σ = 250549200. Its totient is φ = 214437888.

The previous prime is 232212391. The next prime is 232212403. The reversal of 232212401 is 104212232.

It can be written as a sum of positive squares in 8 ways, for example, as 36240400 + 195972001 = 6020^2 + 13999^2 .

It is a cyclic number.

It is not a de Polignac number, because 232212401 - 210 = 232211377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 232212401.

It is not an unprimeable number, because it can be changed into a prime (232212403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208835 + ... + 209943.

It is an arithmetic number, because the mean of its divisors is an integer number (15659325).

Almost surely, 2232212401 is an apocalyptic number.

It is an amenable number.

232212401 is a deficient number, since it is larger than the sum of its proper divisors (18336799).

232212401 is a wasteful number, since it uses less digits than its factorization.

232212401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 232212401 is about 15238.5170210227. The cubic root of 232212401 is about 614.6508260918.

Adding to 232212401 its reverse (104212232), we get a palindrome (336424633).

The spelling of 232212401 in words is "two hundred thirty-two million, two hundred twelve thousand, four hundred one".

Divisors: 1 17 109 113 1109 1853 1921 12317 18853 120881 125317 209389 2054977 2130389 13659553 232212401