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66203144 = 23719431447
BaseRepresentation
bin1111110010001…
…0111000001000
311121120110122022
43330202320020
5113422000034
610322544012
71432501040
oct374427010
9147513568
1066203144
1134408447
121a208008
131093c577
148b14720
155c2ab2e
hex3f22e08

66203144 has 64 divisors (see below), whose sum is σ = 152908800. Its totient is φ = 26236224.

The previous prime is 66203129. The next prime is 66203161. The reversal of 66203144 is 44130266.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45029 + ... + 46475.

It is an arithmetic number, because the mean of its divisors is an integer number (2389200).

Almost surely, 266203144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66203144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76454400).

66203144 is an abundant number, since it is smaller than the sum of its proper divisors (86705656).

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

66203144 is a wasteful number, since it uses less digits than its factorization.

66203144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 66203144 is about 8136.5314477362. The cubic root of 66203144 is about 404.5382004552.

The spelling of 66203144 in words is "sixty-six million, two hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 43 56 76 86 133 152 172 266 301 344 532 602 817 1064 1204 1447 1634 2408 2894 3268 5719 5788 6536 10129 11438 11576 20258 22876 27493 40516 45752 54986 62221 81032 109972 124442 192451 219944 248884 384902 435547 497768 769804 871094 1182199 1539608 1742188 2364398 3484376 4728796 8275393 9457592 16550786 33101572 66203144