Search a number
-
+
2282973120 = 263351913907
BaseRepresentation
bin1000100000010011…
…0110011111000000
312220002211001101000
42020010312133000
514133420114440
61014312012000
7110400644211
oct21004663700
95802731330
102282973120
11a7175154a
12538691000
132a4c9308c
141792b9408
15d565b730
hex881367c0

2282973120 has 224 divisors, whose sum is σ = 8478316800. Its totient is φ = 576709632.

The previous prime is 2282973109. The next prime is 2282973127. The reversal of 2282973120 is 213792822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282973127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157207 + ... + 171113.

Almost surely, 22282973120 is an apocalyptic number.

2282973120 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 2282973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239158400).

2282973120 is an abundant number, since it is smaller than the sum of its proper divisors (6195343680).

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

2282973120 is a wasteful number, since it uses less digits than its factorization.

2282973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2282973120 is about 47780.4679759418. The cubic root of 2282973120 is about 1316.7407192946.

The spelling of 2282973120 in words is "two billion, two hundred eighty-two million, nine hundred seventy-three thousand, one hundred twenty".