Search a number
-
+
2273801712 = 2437132231741
BaseRepresentation
bin1000011110000111…
…0111010111110000
312212110120002120020
42013201313113300
514124043123322
61013343243440
7110226665340
oct20741672760
95773502506
102273801712
11a67557976
125355a9580
132a3101700
14177dacd20
15d494905c
hex878775f0

2273801712 has 240 divisors, whose sum is σ = 7589657088. Its totient is φ = 573281280.

The previous prime is 2273801623. The next prime is 2273801743. The reversal of 2273801712 is 2171083722.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305162 + ... + 1306902.

Almost surely, 22273801712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273801712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794828544).

2273801712 is an abundant number, since it is smaller than the sum of its proper divisors (5315855376).

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

2273801712 is a wasteful number, since it uses less digits than its factorization.

2273801712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 2273801712 is about 47684.3969449127. The cubic root of 2273801712 is about 1314.9751014769.

The spelling of 2273801712 in words is "two billion, two hundred seventy-three million, eight hundred one thousand, seven hundred twelve".