Search a number
-
+
2273642280 = 2332571369403
BaseRepresentation
bin1000011110000101…
…0000011100101000
312212110020222212100
42013201100130220
514124023023110
61013340013400
7110225432460
oct20741203450
95773228770
102273642280
11a67459108
12535531260
132a3076c80
14177d6aba0
15d4916bc0
hex87850728

2273642280 has 192 divisors, whose sum is σ = 9094700160. Its totient is φ = 479706624.

The previous prime is 2273642263. The next prime is 2273642309. The reversal of 2273642280 is 822463722.

It is a happy number.

2273642280 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 642 + 2 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1942 + ... + 67461.

It is an arithmetic number, because the mean of its divisors is an integer number (47368230).

Almost surely, 22273642280 is an apocalyptic number.

2273642280 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 2273642280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547350080).

2273642280 is an abundant number, since it is smaller than the sum of its proper divisors (6821057880).

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

2273642280 is a wasteful number, since it uses less digits than its factorization.

2273642280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69440 (or 69433 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2273642280 is about 47682.7251737985. The cubic root of 2273642280 is about 1314.9443667520.

The spelling of 2273642280 in words is "two billion, two hundred seventy-three million, six hundred forty-two thousand, two hundred eighty".