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166998492 = 2232231391451
BaseRepresentation
bin10011111010000…
…11000111011100
3102122020101212100
421331003013130
5320222422432
624323205100
74065315033
oct1175030734
9378211770
10166998492
11862a2491
1247b16790
13287a109b
141827171a
15e9db07c
hex9f431dc

166998492 has 72 divisors (see below), whose sum is σ = 443963520. Its totient is φ = 52826400.

The previous prime is 166998451. The next prime is 166998499. The reversal of 166998492 is 294899661.

166998492 is a `hidden beast` number, since 1 + 6 + 69 + 98 + 492 = 666.

166998492 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166998499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114367 + ... + 115817.

It is an arithmetic number, because the mean of its divisors is an integer number (6166160).

Almost surely, 2166998492 is an apocalyptic number.

166998492 is a gapful number since it is divisible by the number (12) 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 166998492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760).

166998492 is an abundant number, since it is smaller than the sum of its proper divisors (276965028).

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

166998492 is a wasteful number, since it uses less digits than its factorization.

166998492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 166998492 is about 12922.7896369166. The cubic root of 166998492 is about 550.6861870743.

The spelling of 166998492 in words is "one hundred sixty-six million, nine hundred ninety-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 139 207 276 278 414 417 556 828 834 1251 1451 1668 2502 2902 3197 4353 5004 5804 6394 8706 9591 12788 13059 17412 19182 26118 28773 33373 38364 52236 57546 66746 100119 115092 133492 200238 201689 300357 400476 403378 600714 605067 806756 1201428 1210134 1815201 2420268 3630402 4638847 7260804 9277694 13916541 18555388 27833082 41749623 55666164 83499246 166998492