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2224900 = 2252191171
BaseRepresentation
bin1000011111001100000100
311012000222201
420133030010
51032144100
6115404244
724624406
oct10371404
94160881
102224900
11128a667
128b3684
135cb912
1441cb76
152de36a
hex21f304

2224900 has 36 divisors (see below), whose sum is σ = 5086480. Its totient is φ = 842400.

The previous prime is 2224897. The next prime is 2224907. The reversal of 2224900 is 94222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2224907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 2485.

22224900 is an apocalyptic number.

2224900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543240).

2224900 is an abundant number, since it is smaller than the sum of its proper divisors (2861580).

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

2224900 is a wasteful number, since it uses less digits than its factorization.

2224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2224900 is about 1491.6098685648. The cubic root of 2224900 is about 130.5479827273.

The spelling of 2224900 in words is "two million, two hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1171 1900 2342 4684 5855 11710 22249 23420 29275 44498 58550 88996 111245 117100 222490 444980 556225 1112450 2224900