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633230940 = 223523458863
BaseRepresentation
bin100101101111100…
…101011001011100
31122010112110112210
4211233211121130
52244101342230
6142500200420
721456242226
oct4557453134
91563473483
10633230940
112a5495861
12158099110
13a1262384
1460157416
153a8d3eb0
hex25be565c

633230940 has 48 divisors (see below), whose sum is σ = 1850139648. Its totient is φ = 161519424.

The previous prime is 633230933. The next prime is 633230947. The reversal of 633230940 is 49032336.

It is an interprime number because it is at equal distance from previous prime (633230933) and next prime (633230947).

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

It is a junction number, because it is equal to n+sod(n) for n = 633230898 and 633230907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633230947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 228052 + ... + 230811.

It is an arithmetic number, because the mean of its divisors is an integer number (38544576).

Almost surely, 2633230940 is an apocalyptic number.

633230940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633230940 is an abundant number, since it is smaller than the sum of its proper divisors (1216908708).

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

633230940 is a wasteful number, since it uses less digits than its factorization.

633230940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458898 (or 458896 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 633230940 is about 25164.0803527568. The cubic root of 633230940 is about 858.7248725086.

The spelling of 633230940 in words is "six hundred thirty-three million, two hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 458863 917726 1376589 1835452 2294315 2753178 4588630 5506356 6882945 9177260 10553849 13765890 21107698 27531780 31661547 42215396 52769245 63323094 105538490 126646188 158307735 211076980 316615470 633230940