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66231900 = 223252710513
BaseRepresentation
bin1111110010100…
…1111001011100
311121121221002100
43330221321130
5113423410100
610323325100
71432650630
oct374517134
9147557070
1066231900
1134428009
121a220790
131094c697
148b20dc0
155c34400
hex3f29e5c

66231900 has 108 divisors (see below), whose sum is σ = 237279952. Its totient is φ = 15137280.

The previous prime is 66231889. The next prime is 66231901. The reversal of 66231900 is 913266.

It is a happy number.

It is a super-2 number, since 2×662319002 = 8773329155220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66231901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1044 + ... + 11556.

Almost surely, 266231900 is an apocalyptic number.

66231900 is a gapful number since it is divisible by the number (60) 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 66231900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118639976).

66231900 is an abundant number, since it is smaller than the sum of its proper divisors (171048052).

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

66231900 is a wasteful number, since it uses less digits than its factorization.

66231900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 66231900 is about 8138.2983479349. The cubic root of 66231900 is about 404.5967637193.

The spelling of 66231900 in words is "sixty-six million, two hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 10513 21026 31539 42052 52565 63078 73591 94617 105130 126156 147182 157695 189234 210260 220773 262825 294364 315390 367955 378468 441546 473085 525650 630780 662319 735910 788475 883092 946170 1051300 1103865 1324638 1471820 1576950 1839775 1892340 2207730 2365425 2649276 3153900 3311595 3679550 4415460 4730850 5519325 6623190 7359100 9461700 11038650 13246380 16557975 22077300 33115950 66231900