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21017220 = 22357163307
BaseRepresentation
bin101000000101…
…1001010000100
31110112210012120
41100023022010
520340022340
62030245540
7343433460
oct120131204
943483176
1021017220
1110955604
1270568b0
13447b433
142b114a0
151ca24d0
hex140b284

21017220 has 96 divisors (see below), whose sum is σ = 67888128. Its totient is φ = 4758912.

The previous prime is 21017201. The next prime is 21017231. The reversal of 21017220 is 2271012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21017220.

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, 68307 + ... + 68613.

It is an arithmetic number, because the mean of its divisors is an integer number (707168).

Almost surely, 221017220 is an apocalyptic number.

21017220 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 21017220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33944064).

21017220 is an abundant number, since it is smaller than the sum of its proper divisors (46870908).

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

21017220 is a wasteful number, since it uses less digits than its factorization.

21017220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 21017220 is about 4584.4541659831. The cubic root of 21017220 is about 275.9678076294.

Adding to 21017220 its reverse (2271012), we get a palindrome (23288232).

The spelling of 21017220 in words is "twenty-one million, seventeen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 163 210 307 326 420 489 614 652 815 921 978 1141 1228 1535 1630 1842 1956 2149 2282 2445 3070 3260 3423 3684 4298 4564 4605 4890 5705 6140 6447 6846 8596 9210 9780 10745 11410 12894 13692 17115 18420 21490 22820 25788 32235 34230 42980 50041 64470 68460 100082 128940 150123 200164 250205 300246 350287 500410 600492 700574 750615 1000820 1050861 1401148 1501230 1751435 2101722 3002460 3502870 4203444 5254305 7005740 10508610 21017220