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2225434600 = 235269116103
BaseRepresentation
bin1000010010100101…
…0110111111101000
312202002112210100201
42010221112333220
514024202401400
61004454441544
7106101611344
oct20451267750
95662483321
102225434600
11a42221a54
125213632b4
1329609860c
141717bc624
15d059306a
hex84a56fe8

2225434600 has 48 divisors (see below), whose sum is σ = 5181945120. Its totient is φ = 888830400.

The previous prime is 2225434577. The next prime is 2225434633. The reversal of 2225434600 is 64345222.

2225434600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130149 + ... + 146251.

It is an arithmetic number, because the mean of its divisors is an integer number (107957190).

Almost surely, 22225434600 is an apocalyptic number.

2225434600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225434600 is an abundant number, since it is smaller than the sum of its proper divisors (2956510520).

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

2225434600 is a wasteful number, since it uses less digits than its factorization.

2225434600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 16801 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2225434600 is about 47174.5121861371. The cubic root of 2225434600 is about 1305.5843793311.

Adding to 2225434600 its reverse (64345222), we get a palindrome (2289779822).

The spelling of 2225434600 in words is "two billion, two hundred twenty-five million, four hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 691 1382 2764 3455 5528 6910 13820 16103 17275 27640 32206 34550 64412 69100 80515 128824 138200 161030 322060 402575 644120 805150 1610300 3220600 11127173 22254346 44508692 55635865 89017384 111271730 222543460 278179325 445086920 556358650 1112717300 2225434600