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165164250 = 2353349631
BaseRepresentation
bin10011101100000…
…11010011011010
3102111210012202110
421312003103122
5314240224000
624220013150
74043605266
oct1166032332
9374705673
10165164250
118525a389
12473911b6
13282ab234
1417d150a6
15e777850
hex9d834da

165164250 has 64 divisors (see below), whose sum is σ = 414086400. Its totient is φ = 43848000.

The previous prime is 165164239. The next prime is 165164257. The reversal of 165164250 is 52461561.

165164250 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 (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165164257) 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, 261435 + ... + 262065.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2165164250 is an apocalyptic number.

165164250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165164250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

165164250 is an abundant number, since it is smaller than the sum of its proper divisors (248922150).

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

165164250 is a wasteful number, since it uses less digits than its factorization.

165164250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 165164250 is about 12851.6244109451. The cubic root of 165164250 is about 548.6625907409.

The spelling of 165164250 in words is "one hundred sixty-five million, one hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 349 375 631 698 750 1047 1262 1745 1893 2094 3155 3490 3786 5235 6310 8725 9465 10470 15775 17450 18930 26175 31550 43625 47325 52350 78875 87250 94650 130875 157750 220219 236625 261750 440438 473250 660657 1101095 1321314 2202190 3303285 5505475 6606570 11010950 16516425 27527375 33032850 55054750 82582125 165164250