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210012220 = 2251117233241
BaseRepresentation
bin11001000010010…
…00100000111100
3112122011201121101
430201020200330
5412230342340
632501142444
75130034345
oct1441104074
9478151541
10210012220
11a8601320
125a3baa24
13346815b2
141dc6b0cc
1513685c9a
hexc84883c

210012220 has 96 divisors (see below), whose sum is σ = 513729216. Its totient is φ = 71270400.

The previous prime is 210012193. The next prime is 210012223. The reversal of 210012220 is 22210012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210012197 and 210012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210012223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871300 + ... + 871540.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2210012220 is an apocalyptic number.

210012220 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 210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608).

210012220 is an abundant number, since it is smaller than the sum of its proper divisors (303716996).

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

210012220 is a wasteful number, since it uses less digits than its factorization.

210012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 210012220 is about 14491.7983701127. The cubic root of 210012220 is about 594.4037243743.

Adding to 210012220 its reverse (22210012), we get a palindrome (232222232).

The spelling of 210012220 in words is "two hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 233 241 340 374 466 482 748 932 935 964 1165 1205 1870 2330 2410 2563 2651 3740 3961 4097 4660 4820 5126 5302 7922 8194 10252 10604 12815 13255 15844 16388 19805 20485 25630 26510 39610 40970 43571 45067 51260 53020 56153 79220 81940 87142 90134 112306 174284 180268 217855 224612 225335 280765 435710 450670 561530 617683 871420 901340 954601 1123060 1235366 1909202 2470732 3088415 3818404 4773005 6176830 9546010 10500611 12353660 19092020 21001222 42002444 52503055 105006110 210012220