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2260260 = 2232529433
BaseRepresentation
bin1000100111110100100100
311020211111100
420213310210
51034312020
6120240100
725132452
oct10476444
94224440
102260260
111304192
12910030
13611a42
1442b9d2
152e9a90
hex227d24

2260260 has 72 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 580608.

The previous prime is 2260253. The next prime is 2260267. The reversal of 2260260 is 620622.

2260260 is a `hidden beast` number, since 2 + 2 + 602 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2260253) and next prime (2260267).

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 2232036 = 168^2 + 1494^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5004 + ... + 5436.

It is an arithmetic number, because the mean of its divisors is an integer number (98735).

22260260 is an apocalyptic number.

2260260 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 2260260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2260260 is an abundant number, since it is smaller than the sum of its proper divisors (4848660).

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

2260260 is a wasteful number, since it uses less digits than its factorization.

2260260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2260260 is about 1503.4161100640. The cubic root of 2260260 is about 131.2359440730.

Adding to 2260260 its reverse (620622), we get a palindrome (2880882).

The spelling of 2260260 in words is "two million, two hundred sixty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 433 435 522 580 866 870 1044 1299 1305 1732 1740 2165 2598 2610 3897 4330 5196 5220 6495 7794 8660 12557 12990 15588 19485 25114 25980 37671 38970 50228 62785 75342 77940 113013 125570 150684 188355 226026 251140 376710 452052 565065 753420 1130130 2260260