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165419244 = 223219594099
BaseRepresentation
bin10011101110000…
…01100011101100
3102112021011112200
421313001203230
5314321403434
624225301500
74046016564
oct1167014354
9375234480
10165419244
1185413a21
1247494890
132836a313
1417d7dda4
15e7c8199
hex9dc18ec

165419244 has 72 divisors (see below), whose sum is σ = 447720000. Its totient is φ = 51339744.

The previous prime is 165419239. The next prime is 165419257. The reversal of 165419244 is 442914561.

165419244 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 = 165419199 and 165419208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38307 + ... + 42405.

Almost surely, 2165419244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165419244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860000).

165419244 is an abundant number, since it is smaller than the sum of its proper divisors (282300756).

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

165419244 is a wasteful number, since it uses less digits than its factorization.

165419244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4182 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 165419244 is about 12861.5412762235. The cubic root of 165419244 is about 548.9448021983.

The spelling of 165419244 in words is "one hundred sixty-five million, four hundred nineteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 59 76 114 118 171 177 228 236 342 354 531 684 708 1062 1121 2124 2242 3363 4099 4484 6726 8198 10089 12297 13452 16396 20178 24594 36891 40356 49188 73782 77881 147564 155762 233643 241841 311524 467286 483682 700929 725523 934572 967364 1401858 1451046 2176569 2803716 2902092 4353138 4594979 8706276 9189958 13784937 18379916 27569874 41354811 55139748 82709622 165419244