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166222938 = 23741831163
BaseRepresentation
bin10011110100001…
…01110001011010
3102120210000000010
421322011301122
5320023113223
624254422350
74055604660
oct1172056132
9376700003
10166222938
1185912832
12478019b6
132858c08b
141810cc30
15e8d6393
hex9e85c5a

166222938 has 64 divisors (see below), whose sum is σ = 394232832. Its totient is φ = 45736320.

The previous prime is 166222937. The next prime is 166222939. The reversal of 166222938 is 839222661.

It is a happy number.

166222938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166222937) and next prime (166222939).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 166222896 and 166222905.

It is not an unprimeable number, because it can be changed into a prime (166222933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142345 + ... + 143507.

It is an arithmetic number, because the mean of its divisors is an integer number (6159888).

Almost surely, 2166222938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166222938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197116416).

166222938 is an abundant number, since it is smaller than the sum of its proper divisors (228009894).

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

166222938 is a wasteful number, since it uses less digits than its factorization.

166222938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299.

The product of its digits is 62208, while the sum is 39.

The square root of 166222938 is about 12892.7474961701. The cubic root of 166222938 is about 549.8323874928.

The spelling of 166222938 in words is "one hundred sixty-six million, two hundred twenty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 82 83 123 166 246 249 287 498 574 581 861 1162 1163 1722 1743 2326 3403 3486 3489 6806 6978 8141 10209 16282 20418 23821 24423 47642 47683 48846 71463 95366 96529 142926 143049 193058 286098 289587 333781 579174 667562 675703 1001343 1351406 2002686 2027109 3957689 4054218 7915378 11873067 23746134 27703823 55407646 83111469 166222938