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2142224 = 24731617
BaseRepresentation
bin1000001011000000010000
311000211120122
420023000100
51022022344
6113525412
724131360
oct10130020
94024518
102142224
111233537
12873868
135a00b6
143da9a0
152c4aee
hex20b010

2142224 has 40 divisors (see below), whose sum is σ = 4904448. Its totient is φ = 887040.

The previous prime is 2142211. The next prime is 2142227. The reversal of 2142224 is 4222412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142227) 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 7 ways as a sum of consecutive naturals, for example, 3164 + ... + 3780.

22142224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452224).

2142224 is an abundant number, since it is smaller than the sum of its proper divisors (2762224).

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

2142224 is a wasteful number, since it uses less digits than its factorization.

2142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 2142224 is about 1463.6338339899. The cubic root of 2142224 is about 128.9105001855.

Adding to 2142224 its reverse (4222412), we get a palindrome (6364636).

The spelling of 2142224 in words is "two million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 617 868 1234 1736 2468 3472 4319 4936 8638 9872 17276 19127 34552 38254 69104 76508 133889 153016 267778 306032 535556 1071112 2142224