Search a number
-
+
2228777280 = 263252333647
BaseRepresentation
bin1000010011011000…
…0111000101000000
312202022211121122200
42010312013011000
514031031333110
61005054233200
7106142202642
oct20466070500
95668747580
102228777280
11a440a53a4
125224b5800
13296998c32
1417200c892
15d0a036c0
hex84d87140

2228777280 has 168 divisors, whose sum is σ = 7999610112. Its totient is φ = 568482816.

The previous prime is 2228777269. The next prime is 2228777321. The reversal of 2228777280 is 827778222.

It is a happy number.

2228777280 is a `hidden beast` number, since 22 + 287 + 77 + 280 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49417 + ... + 83063.

Almost surely, 22228777280 is an apocalyptic number.

2228777280 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 2228777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999805056).

2228777280 is an abundant number, since it is smaller than the sum of its proper divisors (5770832832).

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

2228777280 is a wasteful number, since it uses less digits than its factorization.

2228777280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33693 (or 33680 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 2228777280 is about 47209.9277694851. The cubic root of 2228777280 is about 1306.2377300039.

The spelling of 2228777280 in words is "two billion, two hundred twenty-eight million, seven hundred seventy-seven thousand, two hundred eighty".