Search a number
-
+
2279229120 = 263257231521
BaseRepresentation
bin1000011111011010…
…0100011011000000
312212211202211120100
42013312210123000
514131440312440
61014055442400
7110324061600
oct20766443300
95784684510
102279229120
11a6a624633
12537386400
132a4281bac
141789c2c00
15d516c230
hex87da46c0

2279229120 has 504 divisors, whose sum is σ = 9431779968. Its totient is φ = 503193600.

The previous prime is 2279229109. The next prime is 2279229157. The reversal of 2279229120 is 219229722.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4374460 + ... + 4374980.

Almost surely, 22279229120 is an apocalyptic number.

2279229120 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 2279229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715889984).

2279229120 is an abundant number, since it is smaller than the sum of its proper divisors (7152550848).

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

2279229120 is a wasteful number, since it uses less digits than its factorization.

2279229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2279229120 is about 47741.2727103080. The cubic root of 2279229120 is about 1316.0205217865.

The spelling of 2279229120 in words is "two billion, two hundred seventy-nine million, two hundred twenty-nine thousand, one hundred twenty".