Search a number
-
+
220021230000 = 24354111351287
BaseRepresentation
bin1100110011101001001…
…0011000100110110000
3210000220122202112211110
43030322102120212300
512101100413330000
6245024254313320
721616221411645
oct3147222304660
9700818675743
10220021230000
1185346280680
12367847b8840
131799521b030
14a913131dcc
155acaed5850
hex333a4989b0

220021230000 has 400 divisors, whose sum is σ = 834445092096. Its totient is φ = 49234560000.

The previous prime is 220021229999. The next prime is 220021230031. The reversal of 220021230000 is 32120022.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 4264357 + ... + 4315643.

Almost surely, 2220021230000 is an apocalyptic number.

220021230000 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 220021230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417222546048).

220021230000 is an abundant number, since it is smaller than the sum of its proper divisors (614423862096).

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

220021230000 is a wasteful number, since it uses less digits than its factorization.

220021230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51342 (or 51321 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 220021230000 its reverse (32120022), we get a palindrome (220053350022).

The spelling of 220021230000 in words is "two hundred twenty billion, twenty-one million, two hundred thirty thousand".