Search a number
-
+
132233200 = 24521141733
BaseRepresentation
bin1111110000110…
…11011111110000
3100012211010211221
413320123133300
5232322430300
621042114424
73163651351
oct770333760
9305733757
10132233200
1168707840
123834ba14
132151b0c8
14137c1d28
15b92031a
hex7e1b7f0

132233200 has 120 divisors (see below), whose sum is σ = 355508496. Its totient is φ = 46848000.

The previous prime is 132233173. The next prime is 132233221. The reversal of 132233200 is 2332231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180034 + ... + 180766.

Almost surely, 2132233200 is an apocalyptic number.

132233200 is a gapful number since it is divisible by the number (10) 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 132233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177754248).

132233200 is an abundant number, since it is smaller than the sum of its proper divisors (223275296).

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

132233200 is a wasteful number, since it uses less digits than its factorization.

132233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 132233200 is about 11499.2695420187. The cubic root of 132233200 is about 509.4640017865.

Adding to 132233200 its reverse (2332231), we get a palindrome (134565431).

It can be divided in two parts, 132 and 233200, that added together give a palindrome (233332).

The spelling of 132233200 in words is "one hundred thirty-two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 164 176 200 205 220 275 328 400 410 440 451 550 656 733 820 880 902 1025 1100 1466 1640 1804 2050 2200 2255 2932 3280 3608 3665 4100 4400 4510 5864 7216 7330 8063 8200 9020 11275 11728 14660 16126 16400 18040 18325 22550 29320 30053 32252 36080 36650 40315 45100 58640 60106 64504 73300 80630 90200 120212 129008 146600 150265 161260 180400 201575 240424 293200 300530 322520 330583 403150 480848 601060 645040 661166 751325 806300 1202120 1322332 1502650 1612600 1652915 2404240 2644664 3005300 3225200 3305830 5289328 6010600 6611660 8264575 12021200 13223320 16529150 26446640 33058300 66116600 132233200