Search a number
-
+
2226560 = 2757271
BaseRepresentation
bin1000011111100110000000
311012010021012
420133212000
51032222220
6115420052
724632300
oct10374600
94163235
102226560
111290936
128b4628
135cc5bb
1441d600
152deac5
hex21f980

2226560 has 96 divisors (see below), whose sum is σ = 6279120. Its totient is φ = 752640.

The previous prime is 2226557. The next prime is 2226569. The reversal of 2226560 is 656222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31325 + ... + 31395.

22226560 is an apocalyptic number.

2226560 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 2226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560).

2226560 is an abundant number, since it is smaller than the sum of its proper divisors (4052560).

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

2226560 is an equidigital number, since it uses as much as digits as its factorization.

2226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2226560 is about 1492.1662105811. The cubic root of 2226560 is about 130.5804419805.

The spelling of 2226560 in words is "two million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 71 80 98 112 128 140 142 160 196 224 245 280 284 320 355 392 448 490 497 560 568 640 710 784 896 980 994 1120 1136 1420 1568 1960 1988 2240 2272 2485 2840 3136 3479 3920 3976 4480 4544 4970 5680 6272 6958 7840 7952 9088 9940 11360 13916 15680 15904 17395 19880 22720 27832 31360 31808 34790 39760 45440 55664 63616 69580 79520 111328 139160 159040 222656 278320 318080 445312 556640 1113280 2226560