Search a number
-
+
2274486480 = 243457411223
BaseRepresentation
bin1000011110010001…
…1110100011010000
312212111211212220000
42013210132203100
514124232031410
61013410050000
7110235546630
oct20744364320
95774755800
102274486480
11a679853a2
12535879900
132a32b12b6
1417810a6c0
15d4a31dc0
hex8791e8d0

2274486480 has 400 divisors, whose sum is σ = 9255907584. Its totient is φ = 506787840.

The previous prime is 2274486451. The next prime is 2274486497. The reversal of 2274486480 is 846844722.

2274486480 is a `hidden beast` number, since 22 + 74 + 4 + 86 + 480 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859149 + ... + 1860371.

Almost surely, 22274486480 is an apocalyptic number.

2274486480 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 2274486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627953792).

2274486480 is an abundant number, since it is smaller than the sum of its proper divisors (6981421104).

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

2274486480 is a wasteful number, since it uses less digits than its factorization.

2274486480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2274486480 is about 47691.5766147440. The cubic root of 2274486480 is about 1315.1070922436.

The spelling of 2274486480 in words is "two billion, two hundred seventy-four million, four hundred eighty-six thousand, four hundred eighty".