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2232840 = 233523809
BaseRepresentation
bin1000100001001000001000
311012102212210
420201020020
51032422330
6115505120
724656511
oct10411010
94172783
102232840
111295625
128b81a0
1360240c
14421a08
152e18b0
hex221208

2232840 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 568832.

The previous prime is 2232833. The next prime is 2232847. The reversal of 2232840 is 482322.

It is an interprime number because it is at equal distance from previous prime (2232833) and next prime (2232847).

It is a super-3 number, since 3×22328403 = 33395970269310912000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232847) by changing a digit.

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, 2356 + ... + 3164.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

22232840 is an apocalyptic number.

2232840 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 2232840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2232840 is an abundant number, since it is smaller than the sum of its proper divisors (4765560).

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

2232840 is a wasteful number, since it uses less digits than its factorization.

2232840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2232840 is about 1494.2690520786. The cubic root of 2232840 is about 130.7030938746.

The spelling of 2232840 in words is "two million, two hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 809 920 1380 1618 2427 2760 3236 4045 4854 6472 8090 9708 12135 16180 18607 19416 24270 32360 37214 48540 55821 74428 93035 97080 111642 148856 186070 223284 279105 372140 446568 558210 744280 1116420 2232840