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163382232 = 233133714153
BaseRepresentation
bin10011011110100…
…00001111011000
3102101102200021210
421233100033120
5313311212412
624113503120
74022504016
oct1157201730
9371380253
10163382232
1184252542
1246871aa0
1327b060a0
14179ad8b6
15e52483c
hex9bd03d8

163382232 has 64 divisors (see below), whose sum is σ = 451795680. Its totient is φ = 48909312.

The previous prime is 163382231. The next prime is 163382239. The reversal of 163382232 is 232283361.

163382232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 163382232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163382231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4468 + ... + 18620.

Almost surely, 2163382232 is an apocalyptic number.

163382232 is a gapful number since it is divisible by the number (12) 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 163382232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225897840).

163382232 is an abundant number, since it is smaller than the sum of its proper divisors (288413448).

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

163382232 is a wasteful number, since it uses less digits than its factorization.

163382232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212 (or 14208 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 163382232 is about 12782.1059297754. The cubic root of 163382232 is about 546.6822102131.

The spelling of 163382232 in words is "one hundred sixty-three million, three hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 14153 28306 42459 56612 84918 113224 169836 183989 339672 367978 523661 551967 735956 1047322 1103934 1471912 1570983 2094644 2207868 3141966 4189288 4415736 6283932 6807593 12567864 13615186 20422779 27230372 40845558 54460744 81691116 163382232