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2264580 = 2232523547
BaseRepresentation
bin1000101000111000000100
311021001102100
420220320010
51034431310
6120312100
725151163
oct10507004
94231370
102264580
11130745a
12912630
136139b6
1442d3da
152eaec0
hex228e04

2264580 has 72 divisors (see below), whose sum is σ = 7180992. Its totient is φ = 576576.

The previous prime is 2264573. The next prime is 2264593. The reversal of 2264580 is 854622.

2264580 is a `hidden beast` number, since 22 + 64 + 580 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3867 + ... + 4413.

It is an arithmetic number, because the mean of its divisors is an integer number (99736).

22264580 is an apocalyptic number.

2264580 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 2264580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590496).

2264580 is an abundant number, since it is smaller than the sum of its proper divisors (4916412).

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

2264580 is a wasteful number, since it uses less digits than its factorization.

2264580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2264580 is about 1504.8521522063. The cubic root of 2264580 is about 131.3195006059.

The spelling of 2264580 in words is "two million, two hundred sixty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 547 690 828 1035 1094 1380 1641 2070 2188 2735 3282 4140 4923 5470 6564 8205 9846 10940 12581 16410 19692 24615 25162 32820 37743 49230 50324 62905 75486 98460 113229 125810 150972 188715 226458 251620 377430 452916 566145 754860 1132290 2264580