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20331144 = 2332282377
BaseRepresentation
bin100110110001…
…1101010001000
31102020221002100
41031203222020
520201044034
62003433400
7334545321
oct115435210
942227070
1020331144
11105270a9
126985860
13429b082
1429b3448
151bb9099
hex1363a88

20331144 has 24 divisors (see below), whose sum is σ = 55063710. Its totient is φ = 6777024.

The previous prime is 20331139. The next prime is 20331151. The reversal of 20331144 is 44113302.

It can be written as a sum of positive squares in only one way, i.e., 18818244 + 1512900 = 4338^2 + 1230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 141117 + ... + 141260.

Almost surely, 220331144 is an apocalyptic number.

20331144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20331144 is an abundant number, since it is smaller than the sum of its proper divisors (34732566).

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

20331144 is a wasteful number, since it uses less digits than its factorization.

20331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282389 (or 282382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20331144 is about 4509.0069860225. The cubic root of 20331144 is about 272.9316739205.

Adding to 20331144 its reverse (44113302), we get a palindrome (64444446).

The spelling of 20331144 in words is "twenty million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 282377 564754 847131 1129508 1694262 2259016 2541393 3388524 5082786 6777048 10165572 20331144