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2232380 = 225232211
BaseRepresentation
bin1000100001000000111100
311012102020202
420201000330
51032414010
6115503032
724655253
oct10410074
94172222
102232380
111295247
128b7a78
13602147
1442179a
152e16a5
hex22103c

2232380 has 36 divisors (see below), whose sum is σ = 4923912. Its totient is φ = 850080.

The previous prime is 2232379. The next prime is 2232401. The reversal of 2232380 is 832322.

It is a happy number.

It is a super-3 number, since 3×22323803 = 33375334242951816000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10475 + ... + 10685.

22232380 is an apocalyptic number.

2232380 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 2232380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461956).

2232380 is an abundant number, since it is smaller than the sum of its proper divisors (2691532).

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

2232380 is a wasteful number, since it uses less digits than its factorization.

2232380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2232380 is about 1494.1151227399. The cubic root of 2232380 is about 130.6941176302.

The spelling of 2232380 in words is "two million, two hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 422 460 529 844 1055 1058 2110 2116 2645 4220 4853 5290 9706 10580 19412 24265 48530 97060 111619 223238 446476 558095 1116190 2232380