Search a number
-
+
20221000000 = 265673277
BaseRepresentation
bin10010110101010000…
…111111100101000000
31221012020101020020221
4102311100333211000
5312403034000000
613142302112424
71314044443525
oct226520774500
957166336227
1020221000000
118637255653
123b03b7b714
131ba3405576
14d9b7b314c
157d537261a
hex4b543f940

20221000000 has 196 divisors, whose sum is σ = 51027549964. Its totient is φ = 7948800000.

The previous prime is 20220999973. The next prime is 20221000061. The reversal of 20221000000 is 12202.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 14325217344 + 5895782656 = 119688^2 + 76784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 72999862 + ... + 73000138.

Almost surely, 220221000000 is an apocalyptic number.

20221000000 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 20221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25513774982).

20221000000 is an abundant number, since it is smaller than the sum of its proper divisors (30806549964).

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

20221000000 is an frugal number, since it uses more digits than its factorization.

20221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20221000000 its reverse (12202), we get a palindrome (20221012202).

The spelling of 20221000000 in words is "twenty billion, two hundred twenty-one million", and thus it is an aban number.