Search a number
-
+
22021230000 = 243547119533
BaseRepresentation
bin10100100000100100…
…010100110110110000
32002211200211101120010
4110200210110312300
5330044413330000
614041051214520
71406464236510
oct244044246660
962750741503
1022021230000
119380457040
124326a47440
1320cc376213
1410cc909840
1588d423d50
hex520914db0

22021230000 has 400 divisors, whose sum is σ = 88637826816. Its totient is φ = 4575360000.

The previous prime is 22021229977. The next prime is 22021230001. The reversal of 22021230000 is 3212022.

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 not an unprimeable number, because it can be changed into a prime (22021230001) 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 79 ways as a sum of consecutive naturals, for example, 2305234 + ... + 2314766.

Almost surely, 222021230000 is an apocalyptic number.

22021230000 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 22021230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318913408).

22021230000 is an abundant number, since it is smaller than the sum of its proper divisors (66616596816).

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

22021230000 is a wasteful number, since it uses less digits than its factorization.

22021230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9561 counting only the distinct ones).

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

Adding to 22021230000 its reverse (3212022), we get a palindrome (22024442022).

The spelling of 22021230000 in words is "twenty-two billion, twenty-one million, two hundred thirty thousand".