Search a number
-
+
2225041400 = 235220535419
BaseRepresentation
bin1000010010011111…
…0110111111111000
312202001210210222202
42010213312333320
514024102311100
61004442205332
7106065353111
oct20447667770
95661723882
102225041400
11a41a8359a
125211b3848
13295c8b65a
14171719208
15d05167d5
hex849f6ff8

2225041400 has 48 divisors (see below), whose sum is σ = 5176696200. Its totient is φ = 889418880.

The previous prime is 2225041373. The next prime is 2225041409. The reversal of 2225041400 is 41405222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225041409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 407891 + ... + 413309.

Almost surely, 22225041400 is an apocalyptic number.

2225041400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225041400 is an abundant number, since it is smaller than the sum of its proper divisors (2951654800).

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

2225041400 is a wasteful number, since it uses less digits than its factorization.

2225041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7488 (or 7479 counting only the distinct ones).

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

The square root of 2225041400 is about 47170.3444973640. The cubic root of 2225041400 is about 1305.5074825885.

Adding to 2225041400 its reverse (41405222), we get a palindrome (2266446622).

The spelling of 2225041400 in words is "two billion, two hundred twenty-five million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2053 4106 5419 8212 10265 10838 16424 20530 21676 27095 41060 43352 51325 54190 82120 102650 108380 135475 205300 216760 270950 410600 541900 1083800 11125207 22250414 44500828 55626035 89001656 111252070 222504140 278130175 445008280 556260350 1112520700 2225041400