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2226330 = 232529853
BaseRepresentation
bin1000011111100010011010
311012002221200
420133202122
51032220310
6115415030
724631521
oct10374232
94162850
102226330
111290747
128b4476
135cc472
1441d4b8
152de9c0
hex21f89a

2226330 has 48 divisors (see below), whose sum is σ = 5995080. Its totient is φ = 572544.

The previous prime is 2226319. The next prime is 2226353. The reversal of 2226330 is 336222.

2226330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1252161 + 974169 = 1119^2 + 987^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 23 + 29 + 213 + 68 + 38 + 312 + 0 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2184 + ... + 3036.

22226330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997540).

2226330 is an abundant number, since it is smaller than the sum of its proper divisors (3768750).

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

2226330 is a wasteful number, since it uses less digits than its factorization.

2226330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2226330 is about 1492.0891394283. The cubic root of 2226330 is about 130.5759455771.

It can be divided in two parts, 2226 and 330, that added together give a triangular number (2556 = T71).

The spelling of 2226330 in words is "two million, two hundred twenty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 853 870 1305 1706 2559 2610 4265 5118 7677 8530 12795 15354 24737 25590 38385 49474 74211 76770 123685 148422 222633 247370 371055 445266 742110 1113165 2226330