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2225730 = 235132439
BaseRepresentation
bin1000011111011001000010
311012002010110
420133121002
51032210410
6115412150
724630003
oct10373102
94162113
102225730
111290251
128b4056
135cc100
1441d1aa
152de720
hex21f642

2225730 has 48 divisors (see below), whose sum is σ = 5797440. Its totient is φ = 546624.

The previous prime is 2225701. The next prime is 2225747. The reversal of 2225730 is 375222.

It is a junction number, because it is equal to n+sod(n) for n = 2225697 and 2225706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4851 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (120780).

22225730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898720).

2225730 is an abundant number, since it is smaller than the sum of its proper divisors (3571710).

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

2225730 is a wasteful number, since it uses less digits than its factorization.

2225730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2225730 is about 1491.8880655063. Note that the first 3 decimals coincide. The cubic root of 2225730 is about 130.5642143713.

It can be divided in two parts, 22 and 25730, that added together give a palindrome (25752).

The spelling of 2225730 in words is "two million, two hundred twenty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 439 507 845 878 1014 1317 1690 2195 2535 2634 4390 5070 5707 6585 11414 13170 17121 28535 34242 57070 74191 85605 148382 171210 222573 370955 445146 741910 1112865 2225730