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2204224 = 261131101
BaseRepresentation
bin1000011010001001000000
311010222121221
420122021000
51031013344
6115124424
724510211
oct10321100
94128557
102204224
111276080
128a3714
135c2399
14415408
152d8184
hex21a240

2204224 has 56 divisors (see below), whose sum is σ = 4974336. Its totient is φ = 960000.

The previous prime is 2204221. The next prime is 2204243. The reversal of 2204224 is 4224022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a d-powerful number, because it can be written as 29 + 213 + 0 + 43 + 215 + 221 + 48 .

It is a junction number, because it is equal to n+sod(n) for n = 2204198 and 2204207.

It is not an unprimeable number, because it can be changed into a prime (2204221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21774 + ... + 21874.

22204224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487168).

2204224 is an abundant number, since it is smaller than the sum of its proper divisors (2770112).

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

2204224 is a wasteful number, since it uses less digits than its factorization.

2204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2204224 is about 1484.6629247072. The cubic root of 2204224 is about 130.1423293223.

Adding to 2204224 its reverse (4224022), we get a palindrome (6428246).

It can be divided in two parts, 220 and 4224, that added together give a palindrome (4444).

The spelling of 2204224 in words is "two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 101 124 176 202 248 341 352 404 496 682 704 808 992 1111 1364 1616 1984 2222 2728 3131 3232 4444 5456 6262 6464 8888 10912 12524 17776 21824 25048 34441 35552 50096 68882 71104 100192 137764 200384 275528 551056 1102112 2204224