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2232340 = 2251173139
BaseRepresentation
bin1000100001000000010100
311012102012021
420201000110
51032413330
6115502524
724655165
oct10410024
94172167
102232340
111295210
128b7a44
13602116
1442176c
152e167a
hex221014

2232340 has 48 divisors (see below), whose sum is σ = 5221440. Its totient is φ = 794880.

The previous prime is 2232337. The next prime is 2232353. The reversal of 2232340 is 432322.

It is a super-3 number, since 3×22323403 = 33373540207730712000, which contains 333 as substring.

It is a d-powerful number, because it can be written as 23 + 217 + 3 + 221 + 32 + 46 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15991 + ... + 16129.

It is an arithmetic number, because the mean of its divisors is an integer number (108780).

22232340 is an apocalyptic number.

2232340 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 2232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610720).

2232340 is an abundant number, since it is smaller than the sum of its proper divisors (2989100).

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

2232340 is a wasteful number, since it uses less digits than its factorization.

2232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2232340 is about 1494.1017368305. The cubic root of 2232340 is about 130.6933370290.

Adding to 2232340 its reverse (432322), we get a palindrome (2664662).

The spelling of 2232340 in words is "two million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 139 146 220 278 292 365 556 695 730 803 1390 1460 1529 1606 2780 3058 3212 4015 6116 7645 8030 10147 15290 16060 20294 30580 40588 50735 101470 111617 202940 223234 446468 558085 1116170 2232340