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2264382 = 233192207
BaseRepresentation
bin1000101000110100111110
311021001011000
420220310332
51034430012
6120311130
725150461
oct10506476
94231130
102264382
11130729a
129124a6
13613893
1442d2d8
152eaddc
hex228d3e

2264382 has 32 divisors (see below), whose sum is σ = 5299200. Its totient is φ = 714744.

The previous prime is 2264359. The next prime is 2264393. The reversal of 2264382 is 2834622.

2264382 is a `hidden beast` number, since 226 + 438 + 2 = 666.

2264382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (165600).

22264382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649600).

2264382 is an abundant number, since it is smaller than the sum of its proper divisors (3034818).

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

2264382 is a wasteful number, since it uses less digits than its factorization.

2264382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2231 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2264382 is about 1504.7863635746. The cubic root of 2264382 is about 131.3156732562.

The spelling of 2264382 in words is "two million, two hundred sixty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2207 4414 6621 13242 19863 39726 41933 59589 83866 119178 125799 251598 377397 754794 1132191 2264382