Search a number
-
+
2221031230000 = 245411271103251
BaseRepresentation
bin100000010100011111110…
…001110000101000110000
321212022212111002201022221
4200110133301300220300
5242342132443330000
64420154435210424
7316315136650312
oct40243761605060
97768774081287
102221031230000
11786a30255400
122ba54aa46a14
13131599ab112b
14796d9bb37b2
153cb929bc61a
hex2051fc70a30

2221031230000 has 600 divisors, whose sum is σ = 6076181599488. Its totient is φ = 785400000000.

The previous prime is 2221031229973. The next prime is 2221031230057. The reversal of 2221031230000 is 321301222.

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

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 119 ways as a sum of consecutive naturals, for example, 8848729875 + ... + 8848730125.

Almost surely, 22221031230000 is an apocalyptic number.

2221031230000 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 2221031230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038090799744).

2221031230000 is an abundant number, since it is smaller than the sum of its proper divisors (3855150369488).

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

2221031230000 is a wasteful number, since it uses less digits than its factorization.

2221031230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2221031230000 its reverse (321301222), we get a palindrome (2221352531222).

The spelling of 2221031230000 in words is "two trillion, two hundred twenty-one billion, thirty-one million, two hundred thirty thousand".