Search a number
-
+
2218356 = 223278803
BaseRepresentation
bin1000011101100101110100
311011201000100
420131211310
51031441411
6115314100
724566340
oct10354564
94151010
102218356
111285758
128ab930
135c894a
1441a620
152dc456
hex21d974

2218356 has 36 divisors (see below), whose sum is σ = 6409312. Its totient is φ = 633744.

The previous prime is 2218351. The next prime is 2218361. The reversal of 2218356 is 6538122.

2218356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2218351) and next prime (2218361).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22183562 = 9842206685472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218351) 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, 4150 + ... + 4653.

22218356 is an apocalyptic number.

It is an amenable number.

2218356 is an abundant number, since it is smaller than the sum of its proper divisors (4190956).

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

2218356 is a wasteful number, since it uses less digits than its factorization.

2218356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8820 (or 8815 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2218356 is about 1489.4146501227. The cubic root of 2218356 is about 130.4198653665.

It can be divided in two parts, 221835 and 6, that added together give a square (221841 = 4712).

The spelling of 2218356 in words is "two million, two hundred eighteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8803 17606 26409 35212 52818 61621 79227 105636 123242 158454 184863 246484 316908 369726 554589 739452 1109178 2218356