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232020 = 223251289
BaseRepresentation
bin111000101001010100
3102210021100
4320221110
524411040
64550100
71654305
oct705124
9383240
10232020
11149358
12b2330
13817b9
14607ac
1548b30
hex38a54

232020 has 36 divisors (see below), whose sum is σ = 704340. Its totient is φ = 61824.

The previous prime is 232013. The next prime is 232049. The reversal of 232020 is 20232.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 93636 = 372^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 231993 and 232011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (19565).

2232020 is an apocalyptic number.

232020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232020 is an abundant number, since it is smaller than the sum of its proper divisors (472320).

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

232020 is a wasteful number, since it uses less digits than its factorization.

232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 232020 is about 481.6845440742. The cubic root of 232020 is about 61.4481021623.

Adding to 232020 its reverse (20232), we get a palindrome (252252).

The spelling of 232020 in words is "two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1289 2578 3867 5156 6445 7734 11601 12890 15468 19335 23202 25780 38670 46404 58005 77340 116010 232020