Search a number
-
+
202223310000 = 2435428323819
BaseRepresentation
bin1011110001010101110…
…0101101010010110000
3201022222021211112110020
42330111130231102300
511303123131410000
6232522231203440
720416165526235
oct2742534552260
9638867745406
10202223310000
1178842871988
1233238216580
13160b9b2271a
149b054a978c
1553d8747ba0
hex2f1572d4b0

202223310000 has 200 divisors, whose sum is σ = 655138038720. Its totient is φ = 53733408000.

The previous prime is 202223309993. The next prime is 202223310001. The reversal of 202223310000 is 13322202.

202223310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2022233100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (202223310001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8478091 + ... + 8501909.

Almost surely, 2202223310000 is an apocalyptic number.

202223310000 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 202223310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327569019360).

202223310000 is an abundant number, since it is smaller than the sum of its proper divisors (452914728720).

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

202223310000 is a wasteful number, since it uses less digits than its factorization.

202223310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24133 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 202223310000 its reverse (13322202), we get a palindrome (202236632202).

The spelling of 202223310000 in words is "two hundred two billion, two hundred twenty-three million, three hundred ten thousand".