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212220 = 22345131
BaseRepresentation
bin110011110011111100
3101210010000
4303303330
523242340
64314300
71542501
oct636374
9353100
10212220
11135498
12a2990
1375798
14574a8
1542d30
hex33cfc

212220 has 60 divisors (see below), whose sum is σ = 670824. Its totient is φ = 56160.

The previous prime is 212209. The next prime is 212227. The reversal of 212220 is 22212.

212220 = T201 + T202 + ... + T210.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212227) by changing a digit.

212220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1555 + ... + 1685.

2212220 is an apocalyptic number.

212220 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 212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335412).

212220 is an abundant number, since it is smaller than the sum of its proper divisors (458604).

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

212220 is a wasteful number, since it uses less digits than its factorization.

212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 212220 is about 460.6734201145. The cubic root of 212220 is about 59.6479382492.

Adding to 212220 its reverse (22212), we get a palindrome (234432).

The spelling of 212220 in words is "two hundred twelve thousand, two hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 131 135 162 180 262 270 324 393 405 524 540 655 786 810 1179 1310 1572 1620 1965 2358 2620 3537 3930 4716 5895 7074 7860 10611 11790 14148 17685 21222 23580 35370 42444 53055 70740 106110 212220