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22423140 = 22325347359
BaseRepresentation
bin101010110001…
…0011001100100
31120012012202200
41111202121210
521220020030
62120334500
7361410405
oct125423144
946165680
1022423140
1111725923
127614430
13485133c
142d999ac
151e7dd60
hex1562664

22423140 has 72 divisors (see below), whose sum is σ = 68402880. Its totient is φ = 5945664.

The previous prime is 22423133. The next prime is 22423169. The reversal of 22423140 is 4132422.

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

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 23 ways as a sum of consecutive naturals, for example, 62281 + ... + 62639.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 222423140 is an apocalyptic number.

22423140 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 22423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201440).

22423140 is an abundant number, since it is smaller than the sum of its proper divisors (45979740).

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

22423140 is a wasteful number, since it uses less digits than its factorization.

22423140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 716 counting only the distinct ones).

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

The square root of 22423140 is about 4735.3078041454. The cubic root of 22423140 is about 281.9889840272.

Adding to 22423140 its reverse (4132422), we get a palindrome (26555562).

The spelling of 22423140 in words is "twenty-two million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 359 694 718 1041 1077 1388 1436 1735 1795 2082 2154 3123 3231 3470 3590 4164 4308 5205 5385 6246 6462 6940 7180 10410 10770 12492 12924 15615 16155 20820 21540 31230 32310 62460 64620 124573 249146 373719 498292 622865 747438 1121157 1245730 1494876 1868595 2242314 2491460 3737190 4484628 5605785 7474380 11211570 22423140