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23210220 = 223511223139
BaseRepresentation
bin101100010001…
…0100011101100
31121200012102210
41120202203230
521420211340
62145250420
7401166165
oct130424354
947605383
1023210220
1112113200
127933a10
134a68677
14312276c
152087180
hex16228ec

23210220 has 144 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 5343360.

The previous prime is 23210189. The next prime is 23210249. The reversal of 23210220 is 2201232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 23210196 and 23210205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166911 + ... + 167049.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 223210220 is an apocalyptic number.

23210220 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 23210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

23210220 is an abundant number, since it is smaller than the sum of its proper divisors (51865620).

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

23210220 is a wasteful number, since it uses less digits than its factorization.

23210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23210220 is about 4817.6986207109. The cubic root of 23210220 is about 285.2505030533.

Adding to 23210220 its reverse (2201232), we get a palindrome (25411452).

The spelling of 23210220 in words is "twenty-three million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 139 165 220 230 242 253 276 278 330 345 363 417 460 484 506 556 605 660 690 695 726 759 834 1012 1210 1265 1380 1390 1452 1518 1529 1668 1815 2085 2420 2530 2780 2783 3036 3058 3197 3630 3795 4170 4587 5060 5566 6116 6394 7260 7590 7645 8340 8349 9174 9591 11132 12788 13915 15180 15290 15985 16698 16819 18348 19182 22935 27830 30580 31970 33396 33638 35167 38364 41745 45870 47955 50457 55660 63940 67276 70334 83490 84095 91740 95910 100914 105501 140668 166980 168190 175835 191820 201828 211002 252285 336380 351670 386837 422004 504570 527505 703340 773674 1009140 1055010 1160511 1547348 1934185 2110020 2321022 3868370 4642044 5802555 7736740 11605110 23210220