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2226384 = 243215461
BaseRepresentation
bin1000011111100011010000
311012010000200
420133203100
51032221014
6115415200
724631626
oct10374320
94163020
102226384
111290796
128b4500
135cc4b4
1441d516
152dea09
hex21f8d0

2226384 has 30 divisors (see below), whose sum is σ = 6231186. Its totient is φ = 742080.

The previous prime is 2226383. The next prime is 2226403. The reversal of 2226384 is 4836222.

2226384 is a `hidden beast` number, since 2 + 22 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 608400 = 1272^2 + 780^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7587 + ... + 7874.

22226384 is an apocalyptic number.

2226384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2226384 is an abundant number, since it is smaller than the sum of its proper divisors (4004802).

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

2226384 is a wasteful number, since it uses less digits than its factorization.

2226384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15475 (or 15466 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2226384 is about 1492.1072347522. The cubic root of 2226384 is about 130.5770012823.

The spelling of 2226384 in words is "two million, two hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15461 30922 46383 61844 92766 123688 139149 185532 247376 278298 371064 556596 742128 1113192 2226384