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2293038 = 2321137313
BaseRepresentation
bin1000101111110100101110
311022111110100
420233310232
51041334123
6121051530
725330146
oct10576456
94274410
102293038
111326880
12926ba6
13623937
14439926
15304643
hex22fd2e

2293038 has 48 divisors (see below), whose sum is σ = 5584176. Its totient is φ = 673920.

The previous prime is 2293037. The next prime is 2293063. The reversal of 2293038 is 8303922.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7170 + ... + 7482.

It is an arithmetic number, because the mean of its divisors is an integer number (116337).

22293038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792088).

2293038 is an abundant number, since it is smaller than the sum of its proper divisors (3291138).

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

2293038 is a wasteful number, since it uses less digits than its factorization.

2293038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2293038 is about 1514.2780458027. The cubic root of 2293038 is about 131.8672908651.

Subtracting from 2293038 its sum of digits (27), we obtain a triangular number (2293011 = T2141).

The spelling of 2293038 in words is "two million, two hundred ninety-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 313 333 407 626 666 814 939 1221 1878 2442 2817 3443 3663 5634 6886 7326 10329 11581 20658 23162 30987 34743 61974 69486 104229 127391 208458 254782 382173 764346 1146519 2293038