Search a number
-
+
4405221200 = 245211013053
BaseRepresentation
bin1000001101001001…
…00101011101010000
3102101000012102102202
410012210211131100
533010214034300
62005043102332
7214110522332
oct40644453520
912330172382
104405221200
1119606a5986
12a2b3719a8
13552870683
142db0b7452
151abb1aad5
hex106925750

4405221200 has 30 divisors (see below), whose sum is σ = 10583544894. Its totient is φ = 1762088320.

The previous prime is 4405221181. The next prime is 4405221239. The reversal of 4405221200 is 21225044.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10061584 + 4395159616 = 3172^2 + 66296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5506127 + ... + 5506926.

Almost surely, 24405221200 is an apocalyptic number.

4405221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405221200 is an abundant number, since it is smaller than the sum of its proper divisors (6178323694).

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

4405221200 is a wasteful number, since it uses less digits than its factorization.

4405221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013071 (or 11013060 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4405221200 is about 66371.8404144408. The cubic root of 4405221200 is about 1639.2904426032.

Adding to 4405221200 its reverse (21225044), we get a palindrome (4426446244).

The spelling of 4405221200 in words is "four billion, four hundred five million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11013053 22026106 44052212 55065265 88104424 110130530 176208848 220261060 275326325 440522120 550652650 881044240 1101305300 2202610600 4405221200