Search a number
-
+
166551330 = 235114311171
BaseRepresentation
bin10011110110101…
…01111100100010
3102121101200110210
421323111330202
5320114120310
624305434550
74061443251
oct1173257442
9377350423
10166551330
1186017530
124793ba56
13286756aa
1418196798
15e94d820
hex9ed5f22

166551330 has 64 divisors (see below), whose sum is σ = 437446656. Its totient is φ = 40248000.

The previous prime is 166551293. The next prime is 166551331. The reversal of 166551330 is 33155661.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (166551331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141645 + ... + 142815.

It is an arithmetic number, because the mean of its divisors is an integer number (6835104).

Almost surely, 2166551330 is an apocalyptic number.

166551330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166551330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218723328).

166551330 is an abundant number, since it is smaller than the sum of its proper divisors (270895326).

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

166551330 is a wasteful number, since it uses less digits than its factorization.

166551330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 166551330 is about 12905.4767443903. The cubic root of 166551330 is about 550.1942344277.

The spelling of 166551330 in words is "one hundred sixty-six million, five hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 431 862 1171 1293 2155 2342 2586 3513 4310 4741 5855 6465 7026 9482 11710 12881 12930 14223 17565 23705 25762 28446 35130 38643 47410 64405 71115 77286 128810 142230 193215 386430 504701 1009402 1514103 2523505 3028206 5047010 5551711 7570515 11103422 15141030 16655133 27758555 33310266 55517110 83275665 166551330