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2244580 = 225138997
BaseRepresentation
bin1000100011111111100100
311020000222121
420203333210
51033311310
6120035324
725035652
oct10437744
94200877
102244580
1112a3428
12902b44
13607870
14425dd2
152e50da
hex223fe4

2244580 has 48 divisors (see below), whose sum is σ = 5186160. Its totient is φ = 811008.

The previous prime is 2244577. The next prime is 2244587. The reversal of 2244580 is 854422.

2244580 = T117 + T118 + ... + T246.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 438244 + 1806336 = 662^2 + 1344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244587) 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, 23092 + ... + 23188.

It is an arithmetic number, because the mean of its divisors is an integer number (108045).

22244580 is an apocalyptic number.

2244580 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 2244580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593080).

2244580 is an abundant number, since it is smaller than the sum of its proper divisors (2941580).

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

2244580 is a wasteful number, since it uses less digits than its factorization.

2244580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2244580 is about 1498.1922440061. The cubic root of 2244580 is about 130.9317671974.

It can be divided in two parts, 22445 and 80, that multiplied together give a square (1795600 = 13402).

The spelling of 2244580 in words is "two million, two hundred forty-four thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 97 130 178 194 260 356 388 445 485 890 970 1157 1261 1780 1940 2314 2522 4628 5044 5785 6305 8633 11570 12610 17266 23140 25220 34532 43165 86330 112229 172660 224458 448916 561145 1122290 2244580