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22023000 = 2332532447
BaseRepresentation
bin101010000000…
…0101101011000
31112102212212200
41110000231120
521114214000
62104010200
7355122666
oct124005530
945385780
1022023000
111148222a
127460960
13474117c
142cd3c36
151e00500
hex1500b58

22023000 has 96 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 5870400.

The previous prime is 22022999. The next prime is 22023019. The reversal of 22023000 is 32022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7777 + ... + 10223.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 222023000 is an apocalyptic number.

22023000 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 22023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

22023000 is an abundant number, since it is smaller than the sum of its proper divisors (52445160).

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

22023000 is a wasteful number, since it uses less digits than its factorization.

22023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 22023000 is about 4692.8669275828. The cubic root of 22023000 is about 280.3015458820.

Adding to 22023000 its reverse (32022), we get a palindrome (22055022).

It can be divided in two parts, 220 and 23000, that added together give a triangular number (23220 = T215).

The spelling of 22023000 in words is "twenty-two million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 2447 3000 4500 4894 7341 9000 9788 12235 14682 19576 22023 24470 29364 36705 44046 48940 58728 61175 73410 88092 97880 110115 122350 146820 176184 183525 220230 244700 293640 305875 367050 440460 489400 550575 611750 734100 880920 917625 1101150 1223500 1468200 1835250 2202300 2447000 2752875 3670500 4404600 5505750 7341000 11011500 22023000