Search a number
-
+
2223700000000 = 285837601
BaseRepresentation
bin100000010110111110110…
…110010011110100000000
321212120202110212021112021
4200112332312103310000
5242413114200000000
64421315332211224
7316441234063003
oct40267666236400
97776673767467
102223700000000
1178807a750846
122bab74769b14
13131903981a8b
14798b03d753a
153cc9be3411a
hex205bed93d00

2223700000000 has 324 divisors, whose sum is σ = 5707827155716. Its totient is φ = 864000000000.

The previous prime is 2223699999977. The next prime is 2223700000003. The reversal of 2223700000000 is 73222.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 777472481536 + 1446227518464 = 881744^2 + 1202592^2 .

It is a super-3 number, since 3×22237000000003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2223700000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223700000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3699999700 + ... + 3700000300.

Almost surely, 22223700000000 is an apocalyptic number.

2223700000000 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 2223700000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853913577858).

2223700000000 is an abundant number, since it is smaller than the sum of its proper divisors (3484127155716).

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

2223700000000 is an frugal number, since it uses more digits than its factorization.

2223700000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

Adding to 2223700000000 its reverse (73222), we get a palindrome (2223700073222).

The spelling of 2223700000000 in words is "two trillion, two hundred twenty-three billion, seven hundred million", and thus it is an aban number.