Search a number
-
+
2222460240 = 2435711213292
BaseRepresentation
bin1000010001111000…
…0000110101010000
312201212221200022020
42010132000311100
514022422211430
61004311011440
7106034412630
oct20436006520
95655850266
102222460240
11a40580300
12520369b80
13295596840
141712466c0
15d01a6b10
hex84780d50

2222460240 has 720 divisors, whose sum is σ = 9652965504. Its totient is φ = 411586560.

The previous prime is 2222460221. The next prime is 2222460287. The reversal of 2222460240 is 420642222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2222460240.

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 143 ways as a sum of consecutive naturals, for example, 76636546 + ... + 76636574.

Almost surely, 22222460240 is an apocalyptic number.

2222460240 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 2222460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826482752).

2222460240 is an abundant number, since it is smaller than the sum of its proper divisors (7430505264).

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

2222460240 is a wasteful number, since it uses less digits than its factorization.

2222460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2222460240 is about 47142.9765712773. The cubic root of 2222460240 is about 1305.0024691311.

The spelling of 2222460240 in words is "two billion, two hundred twenty-two million, four hundred sixty thousand, two hundred forty".