Search a number
-
+
2249780 = 2251317509
BaseRepresentation
bin1000100101010000110100
311020022010012
420211100310
51033443110
6120115352
725060061
oct10452064
94208105
102249780
1112a7325
12905b58
1360a040
14427c68
152e6905
hex225434

2249780 has 48 divisors (see below), whose sum is σ = 5397840. Its totient is φ = 780288.

The previous prime is 2249773. The next prime is 2249783. The reversal of 2249780 is 879422.

It can be written as a sum of positive squares in 8 ways, for example, as 5776 + 2244004 = 76^2 + 1498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249783) 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, 4166 + ... + 4674.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

22249780 is an apocalyptic number.

2249780 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 2249780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698920).

2249780 is an abundant number, since it is smaller than the sum of its proper divisors (3148060).

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

2249780 is a wasteful number, since it uses less digits than its factorization.

2249780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2249780 is about 1499.9266648740. The cubic root of 2249780 is about 131.0327987334.

The spelling of 2249780 in words is "two million, two hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 509 884 1018 1105 2036 2210 2545 4420 5090 6617 8653 10180 13234 17306 26468 33085 34612 43265 66170 86530 112489 132340 173060 224978 449956 562445 1124890 2249780