Search a number
-
+
332636166 = 233232231201
BaseRepresentation
bin10011110100111…
…010000000000110
3212011220200001000
4103310322000012
51140123324131
653001314130
711146234512
oct2364720006
9764820030
10332636166
11160845525
1293495946
1353bb6945
143226b142
151e308ce6
hex13d3a006

332636166 has 64 divisors (see below), whose sum is σ = 775434240. Its totient is φ = 105494400.

The previous prime is 332636149. The next prime is 332636197. The reversal of 332636166 is 661636233.

It is a happy number.

332636166 is a `hidden beast` number, since 3 + 3 + 2 + 636 + 16 + 6 = 666.

It is a super-2 number, since 2×3326361662 = 221293637862359112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (69984) is a multiple of the sum of its prime factors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 332636166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276366 + ... + 277566.

It is an arithmetic number, because the mean of its divisors is an integer number (12116160).

Almost surely, 2332636166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332636166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387717120).

332636166 is an abundant number, since it is smaller than the sum of its proper divisors (442798074).

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

332636166 is a wasteful number, since it uses less digits than its factorization.

332636166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 332636166 is about 18238.3158761987. The cubic root of 332636166 is about 692.8775481249.

The spelling of 332636166 in words is "three hundred thirty-two million, six hundred thirty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 223 414 446 621 669 1201 1242 1338 2007 2402 3603 4014 5129 6021 7206 10258 10809 12042 15387 21618 27623 30774 32427 46161 55246 64854 82869 92322 138483 165738 248607 267823 276966 497214 535646 745821 803469 1491642 1606938 2410407 4820814 6159929 7231221 12319858 14462442 18479787 36959574 55439361 110878722 166318083 332636166