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2225652 = 22311131297
BaseRepresentation
bin1000011111010111110100
311012002000120
420133113310
51032210102
6115411540
724626532
oct10372764
94162016
102225652
111290190
128b3bb0
135cc070
1441d152
152de6bc
hex21f5f4

2225652 has 48 divisors (see below), whose sum is σ = 6105792. Its totient is φ = 622080.

The previous prime is 2225647. The next prime is 2225653. The reversal of 2225652 is 2565222.

It is a d-powerful number, because it can be written as 23 + 218 + 219 + 5 + 6 + 58 + 220 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1068 + ... + 2364.

It is an arithmetic number, because the mean of its divisors is an integer number (127204).

22225652 is an apocalyptic number.

2225652 is a gapful number since it is divisible by the number (22) 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 2225652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052896).

2225652 is an abundant number, since it is smaller than the sum of its proper divisors (3880140).

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

2225652 is a wasteful number, since it uses less digits than its factorization.

2225652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 2225652 is about 1491.8619239058. The cubic root of 2225652 is about 130.5626891597.

The spelling of 2225652 in words is "two million, two hundred twenty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1297 1716 2594 3891 5188 7782 14267 15564 16861 28534 33722 42801 50583 57068 67444 85602 101166 171204 185471 202332 370942 556413 741884 1112826 2225652