Search a number
-
+
2200001120 = 25516998093
BaseRepresentation
bin1000001100100001…
…0101101001100000
312200022200122011222
42003020111221200
514001200013440
61002145354212
7105342462302
oct20310255140
95608618158
102200001120
11a29930449
12514938968
13290a32015
1416c27b972
15cd21c2b5
hex83215a60

2200001120 has 48 divisors (see below), whose sum is σ = 5201204400. Its totient is φ = 879373824.

The previous prime is 2200001119. The next prime is 2200001123. The reversal of 2200001120 is 211000022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2200001098 and 2200001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267794 + ... + 275886.

It is an arithmetic number, because the mean of its divisors is an integer number (108358425).

Almost surely, 22200001120 is an apocalyptic number.

2200001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200001120 is an abundant number, since it is smaller than the sum of its proper divisors (3001203280).

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

2200001120 is a wasteful number, since it uses less digits than its factorization.

2200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9807 (or 9799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2200001120 is about 46904.1695374729. The cubic root of 2200001120 is about 1300.5916675578.

Adding to 2200001120 its reverse (211000022), we get a palindrome (2411001142).

The spelling of 2200001120 in words is "two billion, two hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1699 3398 6796 8093 8495 13592 16186 16990 27184 32372 33980 40465 54368 64744 67960 80930 129488 135920 161860 258976 271840 323720 647440 1294880 13750007 27500014 55000028 68750035 110000056 137500070 220000112 275000140 440000224 550000280 1100000560 2200001120