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2240260 = 2251117599
BaseRepresentation
bin1000100010111100000100
311012211001121
420202330010
51033142020
6120003324
725020241
oct10427404
94184047
102240260
1112a0160
12900544
136058c9
144245c8
152e3baa
hex222f04

2240260 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 765440.

The previous prime is 2240213. The next prime is 2240267. The reversal of 2240260 is 620422.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2240267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 4039.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22240260 is an apocalyptic number.

2240260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2240260 is an abundant number, since it is smaller than the sum of its proper divisors (3202940).

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

2240260 is a wasteful number, since it uses less digits than its factorization.

2240260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2240260 is about 1496.7498120929. The cubic root of 2240260 is about 130.8477145762.

Adding to 2240260 its reverse (620422), we get a palindrome (2860682).

It can be divided in two parts, 2240 and 260, that added together give a square (2500 = 502).

The spelling of 2240260 in words is "two million, two hundred forty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 599 748 935 1198 1870 2396 2995 3740 5990 6589 10183 11980 13178 20366 26356 32945 40732 50915 65890 101830 112013 131780 203660 224026 448052 560065 1120130 2240260