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23828220 = 223251317599
BaseRepresentation
bin101101011100…
…1011011111100
31122211121011200
41122321123330
522100000340
62210415500
7406352013
oct132713374
948747150
1023828220
11124a5549
127b91590
134c23a50
143243a7a
15215a330
hex16b96fc

23828220 has 144 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 5511168.

The previous prime is 23828213. The next prime is 23828249. The reversal of 23828220 is 2282832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39481 + ... + 40079.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 223828220 is an apocalyptic number.

23828220 is a gapful number since it is divisible by the number (20) 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 23828220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

23828220 is an abundant number, since it is smaller than the sum of its proper divisors (58726980).

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

23828220 is a wasteful number, since it uses less digits than its factorization.

23828220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23828220 is about 4881.4157782348. The cubic root of 23828220 is about 287.7600721665.

The spelling of 23828220 in words is "twenty-three million, eight hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 599 612 663 765 780 884 1020 1105 1170 1198 1326 1530 1797 1989 2210 2340 2396 2652 2995 3060 3315 3594 3978 4420 5391 5990 6630 7188 7787 7956 8985 9945 10183 10782 11980 13260 15574 17970 19890 20366 21564 23361 26955 30549 31148 35940 38935 39780 40732 46722 50915 53910 61098 70083 77870 91647 93444 101830 107820 116805 122196 132379 140166 152745 155740 183294 203660 233610 264758 280332 305490 350415 366588 397137 458235 467220 529516 610980 661895 700830 794274 916470 1191411 1323790 1401660 1588548 1832940 1985685 2382822 2647580 3971370 4765644 5957055 7942740 11914110 23828220