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232204020 = 223517227651
BaseRepresentation
bin11011101011100…
…10011011110100
3121011221012000220
431311302123310
5433421012040
635012534340
75516462436
oct1565623364
9534835026
10232204020
1110a089354
12659213b0
1339151539
1422ba6656
15155bb2d0
hexdd726f4

232204020 has 48 divisors (see below), whose sum is σ = 688419648. Its totient is φ = 58278400.

The previous prime is 232204013. The next prime is 232204031. The reversal of 232204020 is 20402232.

232204020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 112806 + ... + 114845.

It is an arithmetic number, because the mean of its divisors is an integer number (14342076).

Almost surely, 2232204020 is an apocalyptic number.

232204020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232204020 is an abundant number, since it is smaller than the sum of its proper divisors (456215628).

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

232204020 is a wasteful number, since it uses less digits than its factorization.

232204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227680 (or 227678 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 232204020 is about 15238.2420245906. The cubic root of 232204020 is about 614.6434313524.

Adding to 232204020 its reverse (20402232), we get a palindrome (252606252).

The spelling of 232204020 in words is "two hundred thirty-two million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 227651 455302 682953 910604 1138255 1365906 2276510 2731812 3414765 3870067 4553020 6829530 7740134 11610201 13659060 15480268 19350335 23220402 38700670 46440804 58051005 77401340 116102010 232204020