Search a number
-
+
232421022 = 23329193769
BaseRepresentation
bin11011101101001…
…11011010011110
3121012100012201000
431312213122132
5433444433042
635021331130
75521355211
oct1566473236
9535305630
10232421022
1110a217399
1265a06aa6
13391c9242
1422c21778
151561074c
hexdda769e

232421022 has 64 divisors (see below), whose sum is σ = 537768000. Its totient is φ = 74317824.

The previous prime is 232421017. The next prime is 232421029. The reversal of 232421022 is 220124232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232420986 and 232421004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232421029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301854 + ... + 302622.

It is an arithmetic number, because the mean of its divisors is an integer number (8402625).

Almost surely, 2232421022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232421022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268884000).

232421022 is an abundant number, since it is smaller than the sum of its proper divisors (305346978).

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

232421022 is a wasteful number, since it uses less digits than its factorization.

232421022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232421022 is about 15245.3606713649. The cubic root of 232421022 is about 614.8348396472.

Adding to 232421022 its reverse (220124232), we get a palindrome (452545254).

It can be divided in two parts, 2324210 and 22, that added together give a palindrome (2324232).

The spelling of 232421022 in words is "two hundred thirty-two million, four hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 193 261 386 522 579 769 783 1158 1538 1566 1737 2307 3474 4614 5211 5597 6921 10422 11194 13842 16791 20763 22301 33582 41526 44602 50373 66903 100746 133806 148417 151119 200709 296834 302238 401418 445251 602127 890502 1204254 1335753 2671506 4007259 4304093 8014518 8608186 12912279 25824558 38736837 77473674 116210511 232421022