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20223600 = 2435219887
BaseRepresentation
bin100110100100…
…1011001110000
31102001110120020
41031021121300
520134123400
62001243440
7333616635
oct115113160
942043506
1020223600
1110463321
126933580
134261137
14298618c
151b972a0
hex1349670

20223600 has 120 divisors (see below), whose sum is σ = 68269440. Its totient is φ = 5103360.

The previous prime is 20223551. The next prime is 20223611. The reversal of 20223600 is 632202.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20223600.

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 23 ways as a sum of consecutive naturals, for example, 22357 + ... + 23243.

It is an arithmetic number, because the mean of its divisors is an integer number (568912).

Almost surely, 220223600 is an apocalyptic number.

20223600 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 20223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134720).

20223600 is an abundant number, since it is smaller than the sum of its proper divisors (48045840).

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

20223600 is a wasteful number, since it uses less digits than its factorization.

20223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

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

The square root of 20223600 is about 4497.0657099936. The cubic root of 20223600 is about 272.4495880709.

Adding to 20223600 its reverse (632202), we get a palindrome (20855802).

The spelling of 20223600 in words is "twenty million, two hundred twenty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 887 912 950 1140 1200 1425 1520 1774 1900 2280 2661 2850 3548 3800 4435 4560 5322 5700 7096 7600 8870 10644 11400 13305 14192 16853 17740 21288 22175 22800 26610 33706 35480 42576 44350 50559 53220 66525 67412 70960 84265 88700 101118 106440 133050 134824 168530 177400 202236 212880 252795 266100 269648 337060 354800 404472 421325 505590 532200 674120 808944 842650 1011180 1064400 1263975 1348240 1685300 2022360 2527950 3370600 4044720 5055900 6741200 10111800 20223600