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2222248400 = 245210950969
BaseRepresentation
bin1000010001110100…
…1101000111010000
312201212112220201022
42010131031013100
514022343422100
61004302255012
7106032541211
oct20435150720
95655486638
102222248400
11a40446129
12520287468
132955212a8
141711cd408
15d0163e85
hex8474d1d0

2222248400 has 60 divisors (see below), whose sum is σ = 5388038700. Its totient is φ = 880727040.

The previous prime is 2222248397. The next prime is 2222248403. The reversal of 2222248400 is 48422222.

It is an interprime number because it is at equal distance from previous prime (2222248397) and next prime (2222248403).

It can be written as a sum of positive squares in 6 ways, for example, as 120209296 + 2102039104 = 10964^2 + 45848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2222248400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222248403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18116 + ... + 69084.

It is an arithmetic number, because the mean of its divisors is an integer number (89800645).

Almost surely, 22222248400 is an apocalyptic number.

2222248400 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 2222248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694019350).

2222248400 is an abundant number, since it is smaller than the sum of its proper divisors (3165790300).

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

2222248400 is a wasteful number, since it uses less digits than its factorization.

2222248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51096 (or 51085 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 2222248400 is about 47140.7297355482. The cubic root of 2222248400 is about 1304.9610044963.

The spelling of 2222248400 in words is "two billion, two hundred twenty-two million, two hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 109 200 218 400 436 545 872 1090 1744 2180 2725 4360 5450 8720 10900 21800 43600 50969 101938 203876 254845 407752 509690 815504 1019380 1274225 2038760 2548450 4077520 5096900 5555621 10193800 11111242 20387600 22222484 27778105 44444968 55556210 88889936 111112420 138890525 222224840 277781050 444449680 555562100 1111124200 2222248400