Search a number
-
+
633328220 = 225767251269
BaseRepresentation
bin100101101111111…
…101001001011100
31122010201101222202
4211233331021130
52244113000340
6142502231032
721460125650
oct4557751134
91563641882
10633328220
112a5551958
12158125478
13a1297735
1460180a60
153a902c15
hex25bfd25c

633328220 has 96 divisors (see below), whose sum is σ = 1554577920. Its totient is φ = 212256000.

The previous prime is 633328219. The next prime is 633328249. The reversal of 633328220 is 22823336.

It is a happy number.

It is a super-2 number, since 2×6333282202 = 802209268496736800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354246 + ... + 2354514.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2633328220 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 633328220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777288960).

633328220 is an abundant number, since it is smaller than the sum of its proper divisors (921249700).

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

633328220 is a wasteful number, since it uses less digits than its factorization.

633328220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 633328220 is about 25166.0131923990. The cubic root of 633328220 is about 858.7688440798.

The spelling of 633328220 in words is "six hundred thirty-three million, three hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 251 268 269 335 469 502 538 670 938 1004 1076 1255 1340 1345 1757 1876 1883 2345 2510 2690 3514 3766 4690 5020 5380 7028 7532 8785 9380 9415 16817 17570 18023 18830 33634 35140 36046 37660 67268 67519 72092 84085 90115 117719 126161 135038 168170 180230 235438 252322 270076 336340 337595 360460 470876 472633 504644 588595 630805 675190 945266 1177190 1261610 1350380 1890532 2354380 2363165 2523220 4523773 4726330 9047546 9452660 18095092 22618865 31666411 45237730 63332822 90475460 126665644 158332055 316664110 633328220