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2256138 = 2321773101
BaseRepresentation
bin1000100110110100001010
311020121211200
420212310022
51034144023
6120205030
725114443
oct10466412
94217750
102256138
111301085
12909776
1360cbc1
1442a2ca
152e8743
hex226d0a

2256138 has 48 divisors (see below), whose sum is σ = 5298696. Its totient is φ = 691200.

The previous prime is 2256131. The next prime is 2256169. The reversal of 2256138 is 8316522.

It can be written as a sum of positive squares in 4 ways, for example, as 2241009 + 15129 = 1497^2 + 123^2 .

It is not an unprimeable number, because it can be changed into a prime (2256131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22288 + ... + 22388.

22256138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649348).

2256138 is an abundant number, since it is smaller than the sum of its proper divisors (3042558).

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

2256138 is a wasteful number, since it uses less digits than its factorization.

2256138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2256138 is about 1502.0446065280. The cubic root of 2256138 is about 131.1561178969.

The spelling of 2256138 in words is "two million, two hundred fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 73 101 102 146 153 202 219 303 306 438 606 657 909 1241 1314 1717 1818 2482 3434 3723 5151 7373 7446 10302 11169 14746 15453 22119 22338 30906 44238 66357 125341 132714 250682 376023 752046 1128069 2256138