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2225740 = 2251167151
BaseRepresentation
bin1000011111011001001100
311012002010211
420133121030
51032210430
6115412204
724630016
oct10373114
94162124
102225740
111290260
128b4064
135cc10a
1441d1b6
152de72a
hex21f64c

2225740 has 48 divisors (see below), whose sum is σ = 5209344. Its totient is φ = 792000.

The previous prime is 2225701. The next prime is 2225747. The reversal of 2225740 is 475222.

2225740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2225747) 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 15 ways as a sum of consecutive naturals, for example, 14665 + ... + 14815.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

22225740 is an apocalyptic number.

2225740 is a gapful number since it is divisible by the number (20) 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 2225740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672).

2225740 is an abundant number, since it is smaller than the sum of its proper divisors (2983604).

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

2225740 is a wasteful number, since it uses less digits than its factorization.

2225740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2225740 is about 1491.8914169604. The cubic root of 2225740 is about 130.5644099087.

The spelling of 2225740 in words is "two million, two hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 151 220 268 302 335 604 670 737 755 1340 1474 1510 1661 2948 3020 3322 3685 6644 7370 8305 10117 14740 16610 20234 33220 40468 50585 101170 111287 202340 222574 445148 556435 1112870 2225740