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2225601 = 32735327
BaseRepresentation
bin1000011111010111000001
311012001221200
420133113001
51032204401
6115411413
724626430
oct10372701
94161850
102225601
111290144
128b3b69
135cc031
1441d117
152de686
hex21f5c1

2225601 has 12 divisors (see below), whose sum is σ = 3674112. Its totient is φ = 1271736.

The previous prime is 2225599. The next prime is 2225621. The reversal of 2225601 is 1065222.

2225601 = 2742 + 2752 + ... + 3002.

2225601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2225601 - 21 = 2225599 is a prime.

It is a super-2 number, since 2×22256012 = 9906599622402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17601 + ... + 17726.

It is an arithmetic number, because the mean of its divisors is an integer number (306176).

22225601 is an apocalyptic number.

2225601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2225601 is a deficient number, since it is larger than the sum of its proper divisors (1448511).

2225601 is a wasteful number, since it uses less digits than its factorization.

2225601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35340 (or 35337 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2225601 is about 1491.8448310733. The cubic root of 2225601 is about 130.5616918867.

The spelling of 2225601 in words is "two million, two hundred twenty-five thousand, six hundred one".

Divisors: 1 3 7 9 21 63 35327 105981 247289 317943 741867 2225601