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21290220 = 22325761277
BaseRepresentation
bin101000100110…
…1110011101100
31111001122200200
41101031303230
520422241340
62040153500
7345651420
oct121156354
944048620
1021290220
1111021726
127168890
134545783
142b82b80
151d08330
hex144dcec

21290220 has 144 divisors (see below), whose sum is σ = 75286848. Its totient is φ = 4769280.

The previous prime is 21290219. The next prime is 21290303. The reversal of 21290220 is 2209212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21290193 and 21290202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76722 + ... + 76998.

Almost surely, 221290220 is an apocalyptic number.

21290220 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 21290220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37643424).

21290220 is an abundant number, since it is smaller than the sum of its proper divisors (53996628).

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

21290220 is a wasteful number, since it uses less digits than its factorization.

21290220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21290220 is about 4614.1326378855. The cubic root of 21290220 is about 277.1575517668.

Adding to 21290220 its reverse (2209212), we get a palindrome (23499432).

The spelling of 21290220 in words is "twenty-one million, two hundred ninety thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 61 63 70 84 90 105 122 126 140 180 183 210 244 252 277 305 315 366 420 427 549 554 610 630 732 831 854 915 1098 1108 1220 1260 1281 1385 1662 1708 1830 1939 2135 2196 2493 2562 2745 2770 3324 3660 3843 3878 4155 4270 4986 5124 5490 5540 5817 6405 7686 7756 8310 8540 9695 9972 10980 11634 12465 12810 15372 16620 16897 17451 19215 19390 23268 24930 25620 29085 33794 34902 38430 38780 49860 50691 58170 67588 69804 76860 84485 87255 101382 116340 118279 152073 168970 174510 202764 236558 253455 304146 337940 349020 354837 473116 506910 591395 608292 709674 760365 1013820 1064511 1182790 1419348 1520730 1774185 2129022 2365580 3041460 3548370 4258044 5322555 7096740 10645110 21290220