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163228032 = 27321121171
BaseRepresentation
bin10011011101010…
…10100110000000
3102101010211202200
421232222212000
5313241244112
624110313200
74021262322
oct1156524600
9371124680
10163228032
1184157700
12467b8800
1327a80b46
141796d612
15e4e3cdc
hex9baa980

163228032 has 144 divisors (see below), whose sum is σ = 516728940. Its totient is φ = 49420800.

The previous prime is 163228007. The next prime is 163228111. The reversal of 163228032 is 230822361.

163228032 is a `hidden beast` number, since 1 + 632 + 28 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 163227987 and 163228005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138807 + ... + 139977.

Almost surely, 2163228032 is an apocalyptic number.

163228032 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 163228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258364470).

163228032 is an abundant number, since it is smaller than the sum of its proper divisors (353500908).

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

163228032 is a wasteful number, since it uses less digits than its factorization.

163228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 163228032 is about 12776.0726359864. The cubic root of 163228032 is about 546.5101700225.

The spelling of 163228032 in words is "one hundred sixty-three million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1171 1408 1452 1584 1936 2112 2178 2342 2904 3168 3513 3872 4224 4356 4684 5808 6336 7026 7744 8712 9368 10539 11616 12672 12881 14052 15488 17424 18736 21078 23232 25762 28104 34848 37472 38643 42156 46464 51524 56208 69696 74944 77286 84312 103048 112416 115929 139392 141691 149888 154572 168624 206096 224832 231858 283382 309144 337248 412192 425073 449664 463716 566764 618288 674496 824384 850146 927432 1133528 1236576 1275219 1348992 1648768 1700292 1854864 2267056 2473152 2550438 3400584 3709728 4534112 4946304 5100876 6801168 7419456 9068224 10201752 13602336 14838912 18136448 20403504 27204672 40807008 54409344 81614016 163228032