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66244100 = 22521350957
BaseRepresentation
bin1111110010110…
…0111000000100
311121122112211012
43330230320010
5113424302400
610323501352
71433031326
oct374547004
9147575735
1066244100
113443619a
121a227858
13109550c0
148b25616
155c37d35
hex3f2ce04

66244100 has 36 divisors (see below), whose sum is σ = 154810404. Its totient is φ = 24458880.

The previous prime is 66244099. The next prime is 66244111. The reversal of 66244100 is 144266.

It is a happy number.

66244100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1473796 + 64770304 = 1214^2 + 8048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24179 + ... + 26778.

It is an arithmetic number, because the mean of its divisors is an integer number (4300289).

Almost surely, 266244100 is an apocalyptic number.

It is an amenable number.

66244100 is an abundant number, since it is smaller than the sum of its proper divisors (88566304).

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

66244100 is a wasteful number, since it uses less digits than its factorization.

66244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50984 (or 50977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 66244100 is about 8139.0478558613. The cubic root of 66244100 is about 404.6216046065.

Adding to 66244100 its reverse (144266), we get a palindrome (66388366).

The spelling of 66244100 in words is "sixty-six million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 50957 101914 203828 254785 509570 662441 1019140 1273925 1324882 2547850 2649764 3312205 5095700 6624410 13248820 16561025 33122050 66244100