Search a number
-
+
664230600 = 2332521133547
BaseRepresentation
bin100111100101110…
…101101011001000
31201021212102002100
4213211311223020
52330020334400
6145524433400
722313603235
oct4745655310
91637772070
10664230600
11310a39310
12166548860
13a77c7377
146430678c
153d4a9100
hex27975ac8

664230600 has 144 divisors (see below), whose sum is σ = 2433571920. Its totient is φ = 161020800.

The previous prime is 664230571. The next prime is 664230601. The reversal of 664230600 is 6032466.

It is not an unprimeable number, because it can be changed into a prime (664230601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3027 + ... + 36573.

It is an arithmetic number, because the mean of its divisors is an integer number (16899805).

Almost surely, 2664230600 is an apocalyptic number.

664230600 is a gapful number since it is divisible by the number (60) 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 664230600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216785960).

664230600 is an abundant number, since it is smaller than the sum of its proper divisors (1769341320).

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

664230600 is a wasteful number, since it uses less digits than its factorization.

664230600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33580 (or 33568 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 664230600 is about 25772.6715728114. The cubic root of 664230600 is about 872.5151159249.

The spelling of 664230600 in words is "six hundred sixty-four million, two hundred thirty thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 33547 67094 100641 134188 167735 201282 268376 301923 335470 369017 402564 503205 603846 670940 738034 805128 838675 1006410 1107051 1207692 1341880 1476068 1509615 1677350 1845085 2012820 2214102 2415384 2516025 2952136 3019230 3321153 3354700 3690170 4025640 4428204 5032050 5535255 6038460 6642306 6709400 7380340 7548075 8856408 9225425 10064100 11070510 12076920 13284612 14760680 15096150 16605765 18450850 20128200 22141020 26569224 27676275 30192300 33211530 36901700 44282040 55352550 60384600 66423060 73803400 83028825 110705100 132846120 166057650 221410200 332115300 664230600