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232323220 = 22541311911
BaseRepresentation
bin11011101100011…
…11100010010100
3121012011020112201
431312033202110
5433433320340
635015254244
75520500113
oct1566174224
9535136481
10232323220
1110a15a968
126597a384
133919387c
1422bd7c7a
15155e179a
hexdd8f894

232323220 has 48 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 90272000.

The previous prime is 232323193. The next prime is 232323229. The reversal of 232323220 is 22323232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232323229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254565 + ... + 255475.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2232323220 is an apocalyptic number.

232323220 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 232323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

232323220 is an abundant number, since it is smaller than the sum of its proper divisors (269612396).

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

232323220 is a wasteful number, since it uses less digits than its factorization.

232323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 232323220 is about 15242.1527350962. The cubic root of 232323220 is about 614.7485873898.

Adding to 232323220 its reverse (22323232), we get a palindrome (254646452).

The spelling of 232323220 in words is "two hundred thirty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 311 410 622 820 911 1244 1555 1822 3110 3644 4555 6220 9110 12751 18220 25502 37351 51004 63755 74702 127510 149404 186755 255020 283321 373510 566642 747020 1133284 1416605 2833210 5666420 11616161 23232322 46464644 58080805 116161610 232323220