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166663332 = 223411101463
BaseRepresentation
bin10011110111100…
…01010010100100
3102121121101010000
421323301102210
5320131211312
624312101300
74062420633
oct1173612244
9377541100
10166663332
11860936a0
1247994830
13286b4674
14181c551a
15e971adc
hex9ef14a4

166663332 has 120 divisors (see below), whose sum is σ = 481041792. Its totient is φ = 49896000.

The previous prime is 166663331. The next prime is 166663337. The reversal of 166663332 is 233366661.

It is a happy number.

166663332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (166663331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 359733 + ... + 360195.

Almost surely, 2166663332 is an apocalyptic number.

166663332 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 166663332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240520896).

166663332 is an abundant number, since it is smaller than the sum of its proper divisors (314378460).

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

166663332 is a wasteful number, since it uses less digits than its factorization.

166663332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 166663332 is about 12909.8153356274. The cubic root of 166663332 is about 550.3175378490.

The spelling of 166663332 in words is "one hundred sixty-six million, six hundred sixty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 101 108 132 162 198 202 297 303 324 396 404 463 594 606 891 909 926 1111 1188 1212 1389 1782 1818 1852 2222 2727 2778 3333 3564 3636 4167 4444 5093 5454 5556 6666 8181 8334 9999 10186 10908 12501 13332 15279 16362 16668 19998 20372 25002 29997 30558 32724 37503 39996 45837 46763 50004 59994 61116 75006 89991 91674 93526 119988 137511 140289 150012 179982 183348 187052 275022 280578 359964 412533 420867 514393 550044 561156 825066 841734 1028786 1262601 1543179 1650132 1683468 2057572 2525202 3086358 3787803 4629537 5050404 6172716 7575606 9259074 13888611 15151212 18518148 27777222 41665833 55554444 83331666 166663332