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2225112 = 2332329139
BaseRepresentation
bin1000011111001111011000
311012001021120
420133033120
51032200422
6115405240
724625131
oct10371730
94161246
102225112
11128a83a
128b3820
135cba46
1441cc88
152de45c
hex21f3d8

2225112 has 64 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 680064.

The previous prime is 2225107. The next prime is 2225123. The reversal of 2225112 is 2115222.

It is a super-2 number, since 2×22251122 = 9902246825088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2225091 and 2225100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15939 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

22225112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2225112 is an abundant number, since it is smaller than the sum of its proper divisors (3822888).

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

2225112 is a wasteful number, since it uses less digits than its factorization.

2225112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 2225112 is about 1491.6809310305. The cubic root of 2225112 is about 130.5521290250.

The spelling of 2225112 in words is "two million, two hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 139 174 184 232 276 278 348 417 552 556 667 696 834 1112 1334 1668 2001 2668 3197 3336 4002 4031 5336 6394 8004 8062 9591 12093 12788 16008 16124 19182 24186 25576 32248 38364 48372 76728 92713 96744 185426 278139 370852 556278 741704 1112556 2225112