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2200220000 = 25541173137
BaseRepresentation
bin1000001100100100…
…1011000101100000
312200100002202102122
42003021023011200
514001224020000
61002154203412
7105344363366
oct20311130540
95610082378
102200220000
11a29a6a940
12514a23568
13290aaa834
1416c2d7636
15cd262085
hex8324b160

2200220000 has 240 divisors, whose sum is σ = 6029532432. Its totient is φ = 783360000.

The previous prime is 2200219981. The next prime is 2200220017. The reversal of 2200220000 is 220022.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2200220000.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 16059932 + ... + 16060068.

Almost surely, 22200220000 is an apocalyptic number.

2200220000 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 2200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014766216).

2200220000 is an abundant number, since it is smaller than the sum of its proper divisors (3829312432).

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

2200220000 is a wasteful number, since it uses less digits than its factorization.

2200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2200220000 is about 46906.5027474869. The cubic root of 2200220000 is about 1300.6347984546.

Adding to 2200220000 its reverse (220022), we get a palindrome (2200440022).

Multiplying 2200220000 by its reverse (220022), we get a square (484096804840000 = 220022002).

2200220000 divided by its reverse (220022) gives a 4-th power (10000 = 104).

It can be divided in two parts, 2200 and 220000, that multiplied together give a square (484000000 = 220002).

The spelling of 2200220000 in words is "two billion, two hundred million, two hundred twenty thousand".