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2225286 = 23372292
BaseRepresentation
bin1000011111010010000110
311012001112000
420133102012
51032202121
6115410130
724625500
oct10372206
94161460
102225286
11128a988
128b3946
135cbb4b
1441cd70
152de526
hex21f486

2225286 has 72 divisors (see below), whose sum is σ = 5957640. Its totient is φ = 613872.

The previous prime is 2225269. The next prime is 2225323. The reversal of 2225286 is 6825222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76720 + ... + 76748.

It is an arithmetic number, because the mean of its divisors is an integer number (82745).

22225286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978820).

2225286 is an abundant number, since it is smaller than the sum of its proper divisors (3732354).

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

2225286 is a wasteful number, since it uses less digits than its factorization.

2225286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

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

The square root of 2225286 is about 1491.7392533550. The cubic root of 2225286 is about 130.5555319216. Note that the first 4 decimals are identical.

The spelling of 2225286 in words is "two million, two hundred twenty-five thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 841 882 1218 1323 1421 1566 1682 1827 2523 2646 2842 3654 4263 5046 5481 5887 7569 8526 10962 11774 12789 15138 17661 22707 25578 35322 38367 41209 45414 52983 76734 82418 105966 123627 158949 247254 317898 370881 741762 1112643 2225286