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2257038 = 23372853
BaseRepresentation
bin1000100111000010001110
311020200002000
420213002032
51034211123
6120213130
725120200
oct10470216
94220060
102257038
111301823
1290a1a6
13610434
1442a770
152e8b43
hex22708e

2257038 has 48 divisors (see below), whose sum is σ = 5841360. Its totient is φ = 644112.

The previous prime is 2257007. The next prime is 2257049. The reversal of 2257038 is 8307522.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2220 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (121695).

22257038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920680).

2257038 is an abundant number, since it is smaller than the sum of its proper divisors (3584322).

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

2257038 is a wasteful number, since it uses less digits than its factorization.

2257038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2257038 is about 1502.3441682917. The cubic root of 2257038 is about 131.1735554847.

The spelling of 2257038 in words is "two million, two hundred fifty-seven thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 853 882 1323 1706 2559 2646 5118 5971 7677 11942 15354 17913 23031 35826 41797 46062 53739 83594 107478 125391 161217 250782 322434 376173 752346 1128519 2257038