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2225400000 = 263553709
BaseRepresentation
bin1000010010100100…
…1110100011000000
312202002111000220020
42010221032203000
514024200300000
61004454013440
7106101405435
oct20451164300
95662430806
102225400000
11a421a8a5a
12521347280
13296085945
141717adb8c
15d0587ba0
hex84a4e8c0

2225400000 has 168 divisors, whose sum is σ = 7361560080. Its totient is φ = 593280000.

The previous prime is 2225399993. The next prime is 2225400049. The reversal of 2225400000 is 45222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 598146 + ... + 601854.

It is an arithmetic number, because the mean of its divisors is an integer number (43818810).

Almost surely, 22225400000 is an apocalyptic number.

2225400000 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 2225400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680780040).

2225400000 is an abundant number, since it is smaller than the sum of its proper divisors (5136160080).

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

2225400000 is an frugal number, since it uses more digits than its factorization.

2225400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2225400000 is about 47174.1454612588. The cubic root of 2225400000 is about 1305.5776130941.

Adding to 2225400000 its reverse (45222), we get a palindrome (2225445222).

The spelling of 2225400000 in words is "two billion, two hundred twenty-five million, four hundred thousand".