Search a number
-
+
232122641 = 1729470837
BaseRepresentation
bin11011101010111…
…10100100010001
3121011210001101212
431311132210101
5433410411031
635011105505
75516003252
oct1565364421
9534701355
10232122641
1110a0331a3
12658a2295
133912349a
1422b84b29
15155a212b
hexdd5e911

232122641 has 8 divisors (see below), whose sum is σ = 254252520. Its totient is φ = 210934528.

The previous prime is 232122617. The next prime is 232122659. The reversal of 232122641 is 146221232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 57988225 + 174134416 = 7615^2 + 13196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232122641 is a prime.

It is a super-3 number, since 3×2321226413 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232122661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234926 + ... + 235911.

It is an arithmetic number, because the mean of its divisors is an integer number (31781565).

Almost surely, 2232122641 is an apocalyptic number.

It is an amenable number.

232122641 is a deficient number, since it is larger than the sum of its proper divisors (22129879).

232122641 is a wasteful number, since it uses less digits than its factorization.

232122641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470883.

The product of its digits is 1152, while the sum is 23.

The square root of 232122641 is about 15235.5715678802. The cubic root of 232122641 is about 614.5716196295.

Adding to 232122641 its reverse (146221232), we get a palindrome (378343873).

The spelling of 232122641 in words is "two hundred thirty-two million, one hundred twenty-two thousand, six hundred forty-one".

Divisors: 1 17 29 493 470837 8004229 13654273 232122641