Search a number
-
+
2022230222100 = 22325211909122469
BaseRepresentation
bin11101011011010110010…
…100000110010100010100
321011022201200221010210100
4131123112110012110110
5231113011414101400
64144555535454100
7266046515163144
oct35332624062424
97138650833710
102022230222100
1170a694271770
12287b08987330
13118906cc274a
146dc3b03c924
1537909935100
hex1d6d6506514

2022230222100 has 216 divisors, whose sum is σ = 6915870168480. Its totient is φ = 490161888000.

The previous prime is 2022230222083. The next prime is 2022230222147. The reversal of 2022230222100 is 12220322202.

2022230222100 is a `hidden beast` number, since 20 + 222 + 302 + 22 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89989666 + ... + 90012134.

Almost surely, 22022230222100 is an apocalyptic number.

2022230222100 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 2022230222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457935084240).

2022230222100 is an abundant number, since it is smaller than the sum of its proper divisors (4893639946380).

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

2022230222100 is a wasteful number, since it uses less digits than its factorization.

2022230222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31591 (or 31581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2022230222100 its reverse (12220322202), we get a palindrome (2034450544302).

The spelling of 2022230222100 in words is "two trillion, twenty-two billion, two hundred thirty million, two hundred twenty-two thousand, one hundred".