Search a number
-
+
33288150 = 235273647
BaseRepresentation
bin111111011111…
…0111111010110
32022122012202110
41332332333112
532010210100
63145251450
7552642000
oct176767726
968565673
1033288150
1117876975
12b193b86
136b8683c
1445c7370
152dc8250
hex1fbefd6

33288150 has 96 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 7596960.

The previous prime is 33288131. The next prime is 33288161. The reversal of 33288150 is 5188233.

It is a happy number.

It is a super-2 number, since 2×332881502 = 2216201860845000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51127 + ... + 51773.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 233288150 is an apocalyptic number.

33288150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33288150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

33288150 is an abundant number, since it is smaller than the sum of its proper divisors (63134250).

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

33288150 is a wasteful number, since it uses less digits than its factorization.

33288150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 33288150 is about 5769.5883735324. The cubic root of 33288150 is about 321.6843156874.

The spelling of 33288150 in words is "thirty-three million, two hundred eighty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 343 350 490 525 647 686 735 1029 1050 1225 1294 1470 1715 1941 2058 2450 3235 3430 3675 3882 4529 5145 6470 7350 8575 9058 9705 10290 13587 16175 17150 19410 22645 25725 27174 31703 32350 45290 48525 51450 63406 67935 95109 97050 113225 135870 158515 190218 221921 226450 317030 339675 443842 475545 665763 679350 792575 951090 1109605 1331526 1585150 2219210 2377725 3328815 4755450 5548025 6657630 11096050 16644075 33288150