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2022313000 = 235318111173
BaseRepresentation
bin111100010001010…
…0000110000101000
312012221100010220111
41320202200300220
513120203004000
6532401104104
7101054243161
oct17042406050
95187303814
102022313000
119485a7764
12485328034
13262c8a516
14152826768
15bc81dcba
hex788a0c28

2022313000 has 64 divisors (see below), whose sum is σ = 4758783120. Its totient is φ = 804384000.

The previous prime is 2022312991. The next prime is 2022313043. The reversal of 2022313000 is 3132202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 62125924 + 1960187076 = 7882^2 + 44274^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175414 + ... + 186586.

Almost surely, 22022313000 is an apocalyptic number.

2022313000 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 2022313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379391560).

2022313000 is an abundant number, since it is smaller than the sum of its proper divisors (2736470120).

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

2022313000 is a wasteful number, since it uses less digits than its factorization.

2022313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2022313000 is about 44970.1345339326. The cubic root of 2022313000 is about 1264.5891691359.

Adding to 2022313000 its reverse (3132202), we get a palindrome (2025445202).

The spelling of 2022313000 in words is "two billion, twenty-two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 181 200 250 362 500 724 905 1000 1448 1810 3620 4525 7240 9050 11173 18100 22346 22625 36200 44692 45250 55865 89384 90500 111730 181000 223460 279325 446920 558650 1117300 1396625 2022313 2234600 2793250 4044626 5586500 8089252 10111565 11173000 16178504 20223130 40446260 50557825 80892520 101115650 202231300 252789125 404462600 505578250 1011156500 2022313000