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166226424 = 233721383131
BaseRepresentation
bin10011110100001…
…10100111111000
3102120210011210020
421322012213320
5320023221144
624254450440
74055621100
oct1172064770
9376704706
10166226424
1185915411
1247803a20
1328590840
1418110200
15e8d7419
hex9e869f8

166226424 has 192 divisors, whose sum is σ = 530893440. Its totient is φ = 42981120.

The previous prime is 166226399. The next prime is 166226443. The reversal of 166226424 is 424622661.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268839 + ... + 1268969.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 2166226424 is an apocalyptic number.

166226424 is a gapful number since it is divisible by the number (14) 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 166226424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

166226424 is an abundant number, since it is smaller than the sum of its proper divisors (364667016).

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

166226424 is a wasteful number, since it uses less digits than its factorization.

166226424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

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

The square root of 166226424 is about 12892.8826877468. The cubic root of 166226424 is about 549.8362311306.

The spelling of 166226424 in words is "one hundred sixty-six million, two hundred twenty-six thousand, four hundred twenty-four".