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20331300 = 223521161101
BaseRepresentation
bin100110110001…
…1101100100100
31102020221022010
41031203230210
520201100200
62003434220
7334545633
oct115435444
942227263
1020331300
1110527230
126985970
13429b172
1429b351a
151bb9150
hex1363b24

20331300 has 144 divisors (see below), whose sum is σ = 65870784. Its totient is φ = 4800000.

The previous prime is 20331281. The next prime is 20331301. The reversal of 20331300 is 313302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201250 + ... + 201350.

It is an arithmetic number, because the mean of its divisors is an integer number (457436).

Almost surely, 220331300 is an apocalyptic number.

20331300 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 20331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32935392).

20331300 is an abundant number, since it is smaller than the sum of its proper divisors (45539484).

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

20331300 is a wasteful number, since it uses less digits than its factorization.

20331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 20331300 is about 4509.0242846984. The cubic root of 20331300 is about 272.9323719830.

Adding to 20331300 its reverse (313302), we get a palindrome (20644602).

It can be divided in two parts, 2033 and 1300, that added together give a palindrome (3333).

The spelling of 20331300 in words is "twenty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 61 66 75 100 101 110 122 132 150 165 183 202 220 244 275 300 303 305 330 366 404 505 550 606 610 660 671 732 825 915 1010 1100 1111 1212 1220 1342 1515 1525 1650 1830 2013 2020 2222 2525 2684 3030 3050 3300 3333 3355 3660 4026 4444 4575 5050 5555 6060 6100 6161 6666 6710 7575 8052 9150 10065 10100 11110 12322 13332 13420 15150 16665 16775 18300 18483 20130 22220 24644 27775 30300 30805 33330 33550 36966 40260 50325 55550 61610 66660 67100 67771 73932 83325 92415 100650 111100 123220 135542 154025 166650 184830 201300 203313 271084 308050 333300 338855 369660 406626 462075 616100 677710 813252 924150 1016565 1355420 1694275 1848300 2033130 3388550 4066260 5082825 6777100 10165650 20331300