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2223001120 = 25531344389
BaseRepresentation
bin1000010010000000…
…0100111000100000
312201220222011020211
42010200010320200
514023042013440
61004330343504
7106042124554
oct20440047040
95656864224
102223001120
11a4090a70a
1252058ab94
13295725aa2
14171347864
15d0261eea
hex84804e20

2223001120 has 48 divisors (see below), whose sum is σ = 5268737880. Its totient is φ = 886339584.

The previous prime is 2223001097. The next prime is 2223001163. The reversal of 2223001120 is 211003222.

It can be written as a sum of positive squares in 4 ways, for example, as 1703708176 + 519292944 = 41276^2 + 22788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2223001120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27886 + ... + 72274.

Almost surely, 22223001120 is an apocalyptic number.

2223001120 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 2223001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634368940).

2223001120 is an abundant number, since it is smaller than the sum of its proper divisors (3045736760).

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

2223001120 is a wasteful number, since it uses less digits than its factorization.

2223001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44717 (or 44709 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2223001120 is about 47148.7128138192. The cubic root of 2223001120 is about 1305.1083266653.

Adding to 2223001120 its reverse (211003222), we get a palindrome (2434004342).

The spelling of 2223001120 in words is "two billion, two hundred twenty-three million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 12520 25040 44389 50080 88778 177556 221945 355112 443890 710224 887780 1420448 1775560 3551120 7102240 13893757 27787514 55575028 69468785 111150056 138937570 222300112 277875140 444600224 555750280 1111500560 2223001120