Search a number
-
+
2222640000 = 27345473
BaseRepresentation
bin1000010001111010…
…1100101110000000
312201220021210220000
42010132230232000
514022443440000
61004314520000
7106036062000
oct20436545600
95656253800
102222640000
11a40693369
12520436000
1329562a5c9
14171292000
15d01e0000
hex847acb80

2222640000 has 800 divisors, whose sum is σ = 9639102000. Its totient is φ = 508032000.

The previous prime is 2222639941. The next prime is 2222640001. The reversal of 2222640000 is 462222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2222640000 is a `hidden beast` number, since 2 + 2 + 22 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 317519997 + ... + 317520003.

Almost surely, 22222640000 is an apocalyptic number.

2222640000 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 2222640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819551000).

2222640000 is an abundant number, since it is smaller than the sum of its proper divisors (7416462000).

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

2222640000 is an frugal number, since it uses more digits than its factorization.

2222640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2222640000 is about 47144.8830733517. The cubic root of 2222640000 is about 1305.0376525006.

It can be divided in two parts, 22226 and 40000, that added together give a palindrome (62226).

The spelling of 2222640000 in words is "two billion, two hundred twenty-two million, six hundred forty thousand".