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232340020 = 2251117233773
BaseRepresentation
bin11011101100100…
…11101000110100
3121012012002120221
431312103220310
5433434340040
635015504124
75520600103
oct1566235064
9535162527
10232340020
1110a171550
1265988044
133919b403
1422c0003a
15155e674a
hexdd93a34

232340020 has 192 divisors, whose sum is σ = 612251136. Its totient is φ = 72990720.

The previous prime is 232339981. The next prime is 232340039. The reversal of 232340020 is 20043232.

It is a junction number, because it is equal to n+sod(n) for n = 232339976 and 232340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3182704 + ... + 3182776.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 2232340020 is an apocalyptic number.

232340020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306125568).

232340020 is an abundant number, since it is smaller than the sum of its proper divisors (379911116).

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

232340020 is a wasteful number, since it uses less digits than its factorization.

232340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232340020 is about 15242.7038283895. The cubic root of 232340020 is about 614.7634051472.

Adding to 232340020 its reverse (20043232), we get a palindrome (252383252).

The spelling of 232340020 in words is "two hundred thirty-two million, three hundred forty thousand, twenty".