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220300212 = 2231117195167
BaseRepresentation
bin11010010000110…
…00001110110100
3120100112102002010
431020120032310
5422344101322
633505444220
75313343446
oct1510301664
9510472063
10220300212
111033988a0
1261940670
1336844272
1421388496
151451920c
hexd2183b4

220300212 has 96 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 59512320.

The previous prime is 220300207. The next prime is 220300261. The reversal of 220300212 is 212003022.

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

It is a congruent number.

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, 40053 + ... + 45219.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2220300212 is an apocalyptic number.

220300212 is a gapful number since it is divisible by the number (22) 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 220300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

220300212 is an abundant number, since it is smaller than the sum of its proper divisors (404821068).

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

220300212 is a wasteful number, since it uses less digits than its factorization.

220300212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5219 counting only the distinct ones).

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

The square root of 220300212 is about 14842.5136685132. The cubic root of 220300212 is about 603.9555432682.

Adding to 220300212 its reverse (212003022), we get a palindrome (432303234).

The spelling of 220300212 in words is "two hundred twenty million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 5167 7106 10334 10659 14212 15501 20668 21318 31002 42636 56837 62004 87839 98173 113674 170511 175678 196346 227348 263517 294519 341022 351356 392692 527034 589038 682044 966229 1054068 1079903 1178076 1668941 1932458 2159806 2898687 3239709 3337882 3864916 4319612 5006823 5797374 6479418 6675764 10013646 11594748 12958836 18358351 20027292 36716702 55075053 73433404 110150106 220300212