Search a number
-
+
165522256 = 2429212301
BaseRepresentation
bin10011101110110…
…10101101010000
3102112110101211221
421313122231100
5314333203011
624231414424
74046626114
oct1167325520
9375411757
10165522256
1185484359
1247524414
13283a5183
1417da9744
15e7e8971
hex9ddab50

165522256 has 30 divisors (see below), whose sum is σ = 332166302. Its totient is φ = 79900800.

The previous prime is 165522241. The next prime is 165522263. The reversal of 165522256 is 652225561.

It can be written as a sum of positive squares in 3 ways, for example, as 18627856 + 146894400 = 4316^2 + 12120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7306 + ... + 19606.

Almost surely, 2165522256 is an apocalyptic number.

165522256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165522256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166083151).

165522256 is an abundant number, since it is smaller than the sum of its proper divisors (166644046).

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

165522256 is a wasteful number, since it uses less digits than its factorization.

165522256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12332 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

The square root of 165522256 is about 12865.5453051940. The cubic root of 165522256 is about 549.0587272100.

The spelling of 165522256 in words is "one hundred sixty-five million, five hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 6728 12301 13456 24602 49204 98408 196816 356729 713458 1426916 2853832 5707664 10345141 20690282 41380564 82761128 165522256