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122918166 = 2327343463
BaseRepresentation
bin1110101001110…
…01010100010110
322120021220000200
413110321110112
5222431340131
620110321330
73021534000
oct724712426
9276256020
10122918166
1163425268
12351b9246
131c609257
1412479370
15abd02e6
hex7539516

122918166 has 96 divisors (see below), whose sum is σ = 318489600. Its totient is φ = 34228656.

The previous prime is 122918161. The next prime is 122918189. The reversal of 122918166 is 661819221.

It is a self number, because there is not a number n which added to its sum of digits gives 122918166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122918161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265251 + ... + 265713.

It is an arithmetic number, because the mean of its divisors is an integer number (3317600).

Almost surely, 2122918166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122918166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159244800).

122918166 is an abundant number, since it is smaller than the sum of its proper divisors (195571434).

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

122918166 is a wasteful number, since it uses less digits than its factorization.

122918166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 518 counting only the distinct ones).

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

The square root of 122918166 is about 11086.8465309122. The cubic root of 122918166 is about 497.2086672547.

The spelling of 122918166 in words is "one hundred twenty-two million, nine hundred eighteen thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 49 63 86 98 126 129 147 258 294 301 343 387 441 463 602 686 774 882 903 926 1029 1389 1806 2058 2107 2709 2778 3087 3241 4167 4214 5418 6174 6321 6482 8334 9723 12642 14749 18963 19446 19909 22687 29169 29498 37926 39818 44247 45374 58338 59727 68061 88494 119454 132741 136122 139363 158809 179181 204183 265482 278726 317618 358362 408366 418089 476427 836178 952854 975541 1254267 1429281 1951082 2508534 2858562 2926623 5853246 6828787 8779869 13657574 17559738 20486361 40972722 61459083 122918166