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2224134 = 2321147239
BaseRepresentation
bin1000011111000000000110
311011222221100
420133000012
51032133014
6115400530
724622233
oct10370006
94158840
102224134
11128a030
128b3146
135cb473
1441c78a
152de009
hex21f006

2224134 has 48 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 656880.

The previous prime is 2224099. The next prime is 2224141. The reversal of 2224134 is 4314222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9187 + ... + 9425.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

22224134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680).

2224134 is an abundant number, since it is smaller than the sum of its proper divisors (3167226).

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

2224134 is a wasteful number, since it uses less digits than its factorization.

2224134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2224134 is about 1491.3530769070. The cubic root of 2224134 is about 130.5329990976.

Adding to 2224134 its reverse (4314222), we get a palindrome (6538356).

It can be divided in two parts, 222 and 4134, that added together give a square (4356 = 662).

The spelling of 2224134 in words is "two million, two hundred twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 239 282 423 478 517 717 846 1034 1434 1551 2151 2629 3102 4302 4653 5258 7887 9306 11233 15774 22466 23661 33699 47322 67398 101097 123563 202194 247126 370689 741378 1112067 2224134