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22220001000 = 2334532311927
BaseRepresentation
bin10100101100011010…
…100100111011101000
32010100112212000010000
4110230122210323220
5331001310013000
614112511423000
71414426615011
oct245432447350
963315760100
1022220001000
11947267a69a
124381524a60
1321315bccb2
14110b08c008
158a0ad9000
hex52c6a4ee8

22220001000 has 320 divisors, whose sum is σ = 81055054080. Its totient is φ = 5667235200.

The previous prime is 22220000993. The next prime is 22220001049. The reversal of 22220001000 is 10002222.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1857037 + ... + 1868963.

It is an arithmetic number, because the mean of its divisors is an integer number (253297044).

Almost surely, 222220001000 is an apocalyptic number.

22220001000 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 22220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40527527040).

22220001000 is an abundant number, since it is smaller than the sum of its proper divisors (58835053080).

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

22220001000 is a wasteful number, since it uses less digits than its factorization.

22220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22220001000 its reverse (10002222), we get a palindrome (22230003222).

The spelling of 22220001000 in words is "twenty-two billion, two hundred twenty million, one thousand".