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166222416 = 24353223293
BaseRepresentation
bin10011110100001…
…01101001010000
3102120202222021210
421322011221100
5320023104131
624254420120
74055603313
oct1172055120
9376688253
10166222416
11859123a8
1247801640
132858ba79
141810c97a
15e8d6146
hex9e85a50

166222416 has 80 divisors (see below), whose sum is σ = 440971776. Its totient is φ = 53933568.

The previous prime is 166222367. The next prime is 166222417. The reversal of 166222416 is 614222661.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166222417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567166 + ... + 567458.

Almost surely, 2166222416 is an apocalyptic number.

166222416 is a gapful number since it is divisible by the number (16) 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 166222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220485888).

166222416 is an abundant number, since it is smaller than the sum of its proper divisors (274749360).

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

166222416 is a wasteful number, since it uses less digits than its factorization.

166222416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 166222416 is about 12892.7272522147. The cubic root of 166222416 is about 549.8318119348.

The spelling of 166222416 in words is "one hundred sixty-six million, two hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 223 293 318 424 446 586 636 669 848 879 892 1172 1272 1338 1758 1784 2344 2544 2676 3516 3568 4688 5352 7032 10704 11819 14064 15529 23638 31058 35457 46587 47276 62116 65339 70914 93174 94552 124232 130678 141828 186348 189104 196017 248464 261356 283656 372696 392034 522712 567312 745392 784068 1045424 1568136 3136272 3462967 6925934 10388901 13851868 20777802 27703736 41555604 55407472 83111208 166222416