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122036166 = 23372172713
BaseRepresentation
bin1110100011000…
…01111111000110
322111122002011000
413101201333012
5222220124131
620035354130
73011201400
oct721417706
9274562130
10122036166
116298263a
1234a52946
131c38a965
14122c9b70
15aaa8ce6
hex7461fc6

122036166 has 96 divisors (see below), whose sum is σ = 334147680. Its totient is φ = 32804352.

The previous prime is 122036143. The next prime is 122036171. The reversal of 122036166 is 661630221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 43626 + ... + 46338.

It is an arithmetic number, because the mean of its divisors is an integer number (3480705).

Almost surely, 2122036166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122036166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167073840).

122036166 is an abundant number, since it is smaller than the sum of its proper divisors (212111514).

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

122036166 is a wasteful number, since it uses less digits than its factorization.

122036166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 122036166 is about 11046.9980537701. The cubic root of 122036166 is about 496.0165701844.

Adding to 122036166 its reverse (661630221), we get a palindrome (783666387).

The spelling of 122036166 in words is "one hundred twenty-two million, thirty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 2142 2499 2646 2713 3213 4998 5426 6426 7497 8139 14994 16278 18991 22491 24417 37982 44982 46121 48834 56973 73251 92242 113946 132937 138363 146502 170919 265874 276726 322847 341838 398811 415089 512757 645694 797622 830178 968541 1025514 1196433 1245267 1937082 2259929 2392866 2490534 2905623 3589299 4519858 5811246 6779787 7178598 8716869 13559574 17433738 20339361 40678722 61018083 122036166