Search a number
-
+
1424222200 = 2352471031471
BaseRepresentation
bin101010011100011…
…1110011111111000
310200020220222120101
41110320332133320
510404100102300
6353154005144
750202455212
oct12470763770
93606828511
101424222200
11670a33245
12338b767b4
131990ac93b
14d72195b2
158507bb6a
hex54e3e7f8

1424222200 has 96 divisors (see below), whose sum is σ = 3416924160. Its totient is φ = 551779200.

The previous prime is 1424222179. The next prime is 1424222237. The reversal of 1424222200 is 22224241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967465 + ... + 968935.

It is an arithmetic number, because the mean of its divisors is an integer number (35592960).

Almost surely, 21424222200 is an apocalyptic number.

1424222200 is a gapful number since it is divisible by the number (10) 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 1424222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708462080).

1424222200 is an abundant number, since it is smaller than the sum of its proper divisors (1992701960).

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

1424222200 is a wasteful number, since it uses less digits than its factorization.

1424222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1424222200 is about 37738.8685574965. The cubic root of 1424222200 is about 1125.1037797266.

Adding to 1424222200 its reverse (22224241), we get a palindrome (1446446441).

The spelling of 1424222200 in words is "one billion, four hundred twenty-four million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 103 188 200 206 235 376 412 470 515 824 940 1030 1175 1471 1880 2060 2350 2575 2942 4120 4700 4841 5150 5884 7355 9400 9682 10300 11768 14710 19364 20600 24205 29420 36775 38728 48410 58840 69137 73550 96820 121025 138274 147100 151513 193640 242050 276548 294200 303026 345685 484100 553096 606052 691370 757565 968200 1212104 1382740 1515130 1728425 2765480 3030260 3456850 3787825 6060520 6913700 7121111 7575650 13827400 14242222 15151300 28484444 30302600 35605555 56968888 71211110 142422220 178027775 284844440 356055550 712111100 1424222200