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22242000 = 2435311337
BaseRepresentation
bin101010011011…
…0001011010000
31112212000021210
41110312023100
521143221000
62112420120
7360024324
oct124661320
945760253
1022242000
1111611820
127547640
1347b9a61
142d4d984
151e45350
hex15362d0

22242000 has 160 divisors (see below), whose sum is σ = 78459264. Its totient is φ = 5376000.

The previous prime is 22241987. The next prime is 22242019. The reversal of 22242000 is 24222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65832 + ... + 66168.

Almost surely, 222242000 is an apocalyptic number.

22242000 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 22242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39229632).

22242000 is an abundant number, since it is smaller than the sum of its proper divisors (56217264).

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

22242000 is a wasteful number, since it uses less digits than its factorization.

22242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22242000 is about 4716.1424914860. The cubic root of 22242000 is about 281.2276031548.

Adding to 22242000 its reverse (24222), we get a palindrome (22266222).

It can be divided in two parts, 2224 and 2000, that added together give a palindrome (4224).

The spelling of 22242000 in words is "twenty-two million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 337 375 400 440 500 528 550 600 660 674 750 825 880 1000 1011 1100 1200 1320 1348 1375 1500 1650 1685 2000 2022 2200 2640 2696 2750 3000 3300 3370 3707 4044 4125 4400 5055 5392 5500 6000 6600 6740 7414 8088 8250 8425 10110 11000 11121 13200 13480 14828 16176 16500 16850 18535 20220 22000 22242 25275 26960 29656 33000 33700 37070 40440 42125 44484 50550 55605 59312 66000 67400 74140 80880 84250 88968 92675 101100 111210 126375 134800 148280 168500 177936 185350 202200 222420 252750 278025 296560 337000 370700 404400 444840 463375 505500 556050 674000 741400 889680 926750 1011000 1112100 1390125 1482800 1853500 2022000 2224200 2780250 3707000 4448400 5560500 7414000 11121000 22242000