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223830 = 2335829
BaseRepresentation
bin110110101001010110
3102101001000
4312221112
524130310
64444130
71621365
oct665126
9371030
10223830
11143192
12a9646
137ab59
145b7dc
15464c0
hex36a56

223830 has 32 divisors (see below), whose sum is σ = 597600. Its totient is φ = 59616.

The previous prime is 223829. The next prime is 223831. The reversal of 223830 is 38322.

It is an interprime number because it is at equal distance from previous prime (223829) and next prime (223831).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223831) 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, 145 + ... + 684.

It is an arithmetic number, because the mean of its divisors is an integer number (18675).

2223830 is an apocalyptic number.

223830 is an abundant number, since it is smaller than the sum of its proper divisors (373770).

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

223830 is a wasteful number, since it uses less digits than its factorization.

223830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223830 is about 473.1067532809. The cubic root of 223830 is about 60.7164118550.

It can be divided in two parts, 2 and 23830, that added together give a palindrome (23832).

The spelling of 223830 in words is "two hundred twenty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 829 1658 2487 4145 4974 7461 8290 12435 14922 22383 24870 37305 44766 74610 111915 223830