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212233020 = 223529283431
BaseRepresentation
bin11001010011001…
…10101100111100
3112210100112222020
430221212230330
5413312424040
633020520140
75154644106
oct1451465474
9483315866
10212233020
11a988889a
125b0b0050
1334c7b38c
1420288576
1513973cd0
hexca66b3c

212233020 has 96 divisors (see below), whose sum is σ = 618347520. Its totient is φ = 54324480.

The previous prime is 212233013. The next prime is 212233031. The reversal of 212233020 is 20332212.

212233020 is nontrivially palindromic in base 11.

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

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, 492205 + ... + 492635.

It is an arithmetic number, because the mean of its divisors is an integer number (6441120).

Almost surely, 2212233020 is an apocalyptic number.

212233020 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 212233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309173760).

212233020 is an abundant number, since it is smaller than the sum of its proper divisors (406114500).

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

212233020 is a wasteful number, since it uses less digits than its factorization.

212233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212233020 is about 14568.2195205866. The cubic root of 212233020 is about 596.4915805299.

Adding to 212233020 its reverse (20332212), we get a palindrome (232565232).

The spelling of 212233020 in words is "two hundred twelve million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 283 290 348 431 435 566 580 849 862 870 1132 1293 1415 1698 1724 1740 2155 2586 2830 3396 4245 4310 5172 5660 6465 8207 8490 8620 12499 12930 16414 16980 24621 24998 25860 32828 37497 41035 49242 49996 62495 74994 82070 98484 121973 123105 124990 149988 164140 187485 243946 246210 249980 365919 374970 487892 492420 609865 731838 749940 1219730 1463676 1829595 2439460 3537217 3659190 7074434 7318380 10611651 14148868 17686085 21223302 35372170 42446604 53058255 70744340 106116510 212233020