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40166224 = 247418747
BaseRepresentation
bin1001100100111…
…0001101010000
32210120122200221
42121032031100
540240304344
63552522424
7665256460
oct231161520
983518627
1040166224
112074452a
1211550414
1384243c7
145497ba0
1537d6184
hex264e350

40166224 has 40 divisors (see below), whose sum is σ = 91119168. Its totient is φ = 16792320.

The previous prime is 40166219. The next prime is 40166227. The reversal of 40166224 is 42266104.

It is a super-2 number, since 2×401662242 = 3226651100836352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40166227) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 219 + ... + 8965.

Almost surely, 240166224 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 40166224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45559584).

40166224 is an abundant number, since it is smaller than the sum of its proper divisors (50952944).

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

40166224 is a wasteful number, since it uses less digits than its factorization.

40166224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 40166224 is about 6337.6828573225. The cubic root of 40166224 is about 342.4682663692.

The spelling of 40166224 in words is "forty million, one hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 8747 17494 34988 61229 69976 122458 139952 244916 358627 489832 717254 979664 1434508 2510389 2869016 5020778 5738032 10041556 20083112 40166224