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2241594 = 234101137
BaseRepresentation
bin1000100011010000111010
311012212220000
420203100322
51033212334
6120013430
725024155
oct10432072
94185800
102241594
1112a1163
12901276
136063b4
14424c9c
152e4299
hex22343a

2241594 has 40 divisors (see below), whose sum is σ = 5109588. Its totient is φ = 734400.

The previous prime is 2241583. The next prime is 2241599. The reversal of 2241594 is 4951422.

It can be written as a sum of positive squares in 2 ways, for example, as 1996569 + 245025 = 1413^2 + 495^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241599) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16294 + ... + 16430.

22241594 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554794).

2241594 is an abundant number, since it is smaller than the sum of its proper divisors (2867994).

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

2241594 is a wasteful number, since it uses less digits than its factorization.

2241594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

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

The square root of 2241594 is about 1497.1953780319. The cubic root of 2241594 is about 130.8736812373.

It can be divided in two parts, 22 and 41594, that added together give a triangular number (41616 = T288).

The spelling of 2241594 in words is "two million, two hundred forty-one thousand, five hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 137 162 202 274 303 411 606 822 909 1233 1818 2466 2727 3699 5454 7398 8181 11097 13837 16362 22194 27674 41511 83022 124533 249066 373599 747198 1120797 2241594