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165228228 = 223311236047
BaseRepresentation
bin10011101100100…
…10111011000100
3102111220110112000
421312102323010
5314244300403
624221225300
74044262644
oct1166227304
9374813460
10165228228
11852a3460
1247402230
13283013a9
1417d30524
15e78b7a3
hex9d92ec4

165228228 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 47884320.

The previous prime is 165228227. The next prime is 165228247. The reversal of 165228228 is 822822561.

165228228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165228192 and 165228201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165228227) 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, 24301 + ... + 30347.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2165228228 is an apocalyptic number.

165228228 is a gapful number since it is divisible by the number (18) 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 165228228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

165228228 is an abundant number, since it is smaller than the sum of its proper divisors (322482492).

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

165228228 is a wasteful number, since it uses less digits than its factorization.

165228228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6086 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 165228228 is about 12854.1132716341. The cubic root of 165228228 is about 548.7334248828.

The spelling of 165228228 in words is "one hundred sixty-five million, two hundred twenty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 3036 4554 6047 6831 9108 12094 13662 18141 24188 27324 36282 54423 66517 72564 108846 133034 139081 163269 199551 217692 266068 278162 326538 399102 417243 556324 598653 653076 798204 834486 1197306 1251729 1529891 1668972 1795959 2394612 2503458 3059782 3591918 3755187 4589673 5006916 6119564 7183836 7510374 9179346 13769019 15020748 18358692 27538038 41307057 55076076 82614114 165228228