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663461220 = 223523220903
BaseRepresentation
bin100111100010111…
…001110101100100
31201020102022200210
4213202321311210
52324321224340
6145500135420
722304220162
oct4742716544
91636368623
10663461220
11310563264
12166237570
13a75b8106
1464186232
153d3a6180
hex278b9d64

663461220 has 72 divisors (see below), whose sum is σ = 1942065216. Its totient is φ = 169222592.

The previous prime is 663461207. The next prime is 663461231. The reversal of 663461220 is 22164366.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21289 + ... + 42191.

It is an arithmetic number, because the mean of its divisors is an integer number (26973128).

Almost surely, 2663461220 is an apocalyptic number.

663461220 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 663461220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971032608).

663461220 is an abundant number, since it is smaller than the sum of its proper divisors (1278603996).

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

663461220 is a wasteful number, since it uses less digits than its factorization.

663461220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20961 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 663461220 is about 25757.7409723757. The cubic root of 663461220 is about 872.1781069431.

The spelling of 663461220 in words is "six hundred sixty-three million, four hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 529 690 1058 1380 1587 2116 2645 3174 5290 6348 7935 10580 15870 20903 31740 41806 62709 83612 104515 125418 209030 250836 313545 418060 480769 627090 961538 1254180 1442307 1923076 2403845 2884614 4807690 5769228 7211535 9615380 11057687 14423070 22115374 28846140 33173061 44230748 55288435 66346122 110576870 132692244 165865305 221153740 331730610 663461220