Search a number
-
+
220001212200 = 2335271142111311
BaseRepresentation
bin1100110011100100011…
…0000001011100101000
3210000212021002112120110
43030321012001130220
512101030302242300
6245022301254320
721615556310010
oct3147106013450
9700767075513
10220001212200
1185335a48a40
1236779b643a0
131799102c793
14a910600c40
155ac937e550
hex3339181728

220001212200 has 384 divisors, whose sum is σ = 852385443840. Its totient is φ = 45601920000.

The previous prime is 220001212169. The next prime is 220001212219. The reversal of 220001212200 is 2212100022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19444545 + ... + 19455855.

It is an arithmetic number, because the mean of its divisors is an integer number (2219753760).

Almost surely, 2220001212200 is an apocalyptic number.

220001212200 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 220001212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426192721920).

220001212200 is an abundant number, since it is smaller than the sum of its proper divisors (632384231640).

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

220001212200 is a wasteful number, since it uses less digits than its factorization.

220001212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11769 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220001212200 its reverse (2212100022), we get a palindrome (222213312222).

The spelling of 220001212200 in words is "two hundred twenty billion, one million, two hundred twelve thousand, two hundred".