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212212020 = 223517375623
BaseRepresentation
bin11001010011000…
…01100100110100
3112210022111011110
430221201210310
5413311241040
633020235020
75154525636
oct1451414464
9483274143
10212212020
11a9874039
125b09ba70
1334c71957
1420280a56
151396c980
hexca61934

212212020 has 96 divisors (see below), whose sum is σ = 646265088. Its totient is φ = 51812352.

The previous prime is 212211997. The next prime is 212212051. The reversal of 212212020 is 20212212.

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 = 212211987 and 212212005.

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, 34929 + ... + 40551.

It is an arithmetic number, because the mean of its divisors is an integer number (6731928).

Almost surely, 2212212020 is an apocalyptic number.

212212020 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 212212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323132544).

212212020 is an abundant number, since it is smaller than the sum of its proper divisors (434053068).

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

212212020 is a wasteful number, since it uses less digits than its factorization.

212212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212212020 is about 14567.4987557919. The cubic root of 212212020 is about 596.4719060287.

Adding to 212212020 its reverse (20212212), we get a palindrome (232424232).

The spelling of 212212020 in words is "two hundred twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 5623 6290 7548 9435 11246 12580 16869 18870 22492 28115 33738 37740 56230 67476 84345 95591 112460 168690 191182 208051 286773 337380 382364 416102 477955 573546 624153 832204 955910 1040255 1147092 1248306 1433865 1911820 2080510 2496612 2867730 3120765 3536867 4161020 5735460 6241530 7073734 10610601 12483060 14147468 17684335 21221202 35368670 42442404 53053005 70737340 106106010 212212020