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2220090180 = 223571117231229
BaseRepresentation
bin1000010001010011…
…1110001101000100
312201201111021012020
42010110332031010
514021320341210
61004144123140
7106005312060
oct20424761504
95651437166
102220090180
11a3a201680
1251b6064b0
13294c46b39
14170bcaaa0
15ced89770
hex8453e344

2220090180 has 384 divisors, whose sum is σ = 8569774080. Its totient is φ = 414965760.

The previous prime is 2220090161. The next prime is 2220090217. The reversal of 2220090180 is 810900222.

It is a self number, because there is not a number n which added to its sum of digits gives 2220090180.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1805806 + ... + 1807034.

It is an arithmetic number, because the mean of its divisors is an integer number (22317120).

Almost surely, 22220090180 is an apocalyptic number.

2220090180 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 2220090180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284887040).

2220090180 is an abundant number, since it is smaller than the sum of its proper divisors (6349683900).

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

2220090180 is a wasteful number, since it uses less digits than its factorization.

2220090180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2220090180 is about 47117.8329297942. The cubic root of 2220090180 is about 1304.5384136974.

The spelling of 2220090180 in words is "two billion, two hundred twenty million, ninety thousand, one hundred eighty".