Search a number
-
+
2225640 = 2335171091
BaseRepresentation
bin1000011111010111101000
311012002000010
420133113220
51032210030
6115411520
724626514
oct10372750
94162003
102225640
11129017a
128b3ba0
135cc061
1441d144
152de6b0
hex21f5e8

2225640 has 64 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 558080.

The previous prime is 2225627. The next prime is 2225647. The reversal of 2225640 is 465222.

It is not an unprimeable number, because it can be changed into a prime (2225647) 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, 1495 + ... + 2585.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

22225640 is an apocalyptic number.

2225640 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 2225640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2225640 is an abundant number, since it is smaller than the sum of its proper divisors (4850520).

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

2225640 is a wasteful number, since it uses less digits than its factorization.

2225640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2225640 is about 1491.8579020805. The cubic root of 2225640 is about 130.5624545086.

The spelling of 2225640 in words is "two million, two hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1091 2040 2182 3273 4364 5455 6546 8728 10910 13092 16365 18547 21820 26184 32730 37094 43640 55641 65460 74188 92735 111282 130920 148376 185470 222564 278205 370940 445128 556410 741880 1112820 2225640