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122981166 = 2347119859
BaseRepresentation
bin1110101010010…
…00101100101110
322120102002110000
413111020230232
5222440344131
620111525130
73022215450
oct725105456
9276362400
10122981166
1163468630
12352297a6
131c62bb29
14124942d0
15abe3ce6
hex7548b2e

122981166 has 80 divisors (see below), whose sum is σ = 343601280. Its totient is φ = 31939920.

The previous prime is 122981153. The next prime is 122981171. The reversal of 122981166 is 661189221.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122981166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7545 + ... + 17403.

It is an arithmetic number, because the mean of its divisors is an integer number (4295016).

Almost surely, 2122981166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122981166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171800640).

122981166 is an abundant number, since it is smaller than the sum of its proper divisors (220620114).

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

122981166 is a wasteful number, since it uses less digits than its factorization.

122981166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9891 (or 9882 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 122981166 is about 11089.6873716079. The cubic root of 122981166 is about 497.2935985468.

The spelling of 122981166 in words is "one hundred twenty-two million, nine hundred eighty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 9859 12474 19718 29577 59154 69013 88731 108449 138026 177462 207039 216898 266193 325347 414078 532386 621117 650694 759143 798579 976041 1242234 1518286 1597158 1863351 1952082 2277429 2928123 3726702 4554858 5590053 5856246 6832287 8784369 11180106 13664574 17568738 20496861 40993722 61490583 122981166