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166443144 = 2337990733
BaseRepresentation
bin10011110101110…
…11100010001000
3102121012012001220
421322323202020
5320102140034
624303242040
74060512660
oct1172734210
9377165056
10166443144
1185a5321a
12478a9320
132863838a
14181691a0
15e92b749
hex9ebb888

166443144 has 32 divisors (see below), whose sum is σ = 475552320. Its totient is φ = 47555136.

The previous prime is 166443143. The next prime is 166443169. The reversal of 166443144 is 441344661.

166443144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166443143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495199 + ... + 495534.

It is an arithmetic number, because the mean of its divisors is an integer number (14861010).

Almost surely, 2166443144 is an apocalyptic number.

166443144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

166443144 is an abundant number, since it is smaller than the sum of its proper divisors (309109176).

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

166443144 is a wasteful number, since it uses less digits than its factorization.

166443144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990749 (or 990745 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 166443144 is about 12901.2845872029. The cubic root of 166443144 is about 550.0750795577.

The spelling of 166443144 in words is "one hundred sixty-six million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 990733 1981466 2972199 3962932 5944398 6935131 7925864 11888796 13870262 20805393 23777592 27740524 41610786 55481048 83221572 166443144