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166505196 = 223112138821
BaseRepresentation
bin10011110110010…
…10101011101100
3102121022100012010
421323022223230
5320111131241
624304441220
74061161614
oct1173125354
9377270163
10166505196
1185a95900
1247919210
132865a6b0
1418183a44
15e93ed16
hex9ecaaec

166505196 has 72 divisors (see below), whose sum is σ = 459943792. Its totient is φ = 46569600.

The previous prime is 166505137. The next prime is 166505197. The reversal of 166505196 is 691505661.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (166505197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14466 + ... + 23286.

Almost surely, 2166505196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166505196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229971896).

166505196 is an abundant number, since it is smaller than the sum of its proper divisors (293438596).

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

166505196 is a wasteful number, since it uses less digits than its factorization.

166505196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8863 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 166505196 is about 12903.6892399034. The cubic root of 166505196 is about 550.1434292599.

The spelling of 166505196 in words is "one hundred sixty-six million, five hundred five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 121 132 143 156 242 286 363 429 484 572 726 858 1452 1573 1716 3146 4719 6292 8821 9438 17642 18876 26463 35284 52926 97031 105852 114673 194062 229346 291093 344019 388124 458692 582186 688038 1067341 1164372 1261403 1376076 2134682 2522806 3202023 3784209 4269364 5045612 6404046 7568418 12808092 13875433 15136836 27750866 41626299 55501732 83252598 166505196