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212280 = 23352961
BaseRepresentation
bin110011110100111000
3101210012020
4303310320
523243110
64314440
71542615
oct636470
9353166
10212280
11135542
12a2a20
1375813
145750c
1542d70
hex33d38

212280 has 64 divisors (see below), whose sum is σ = 669600. Its totient is φ = 53760.

The previous prime is 212243. The next prime is 212281. The reversal of 212280 is 82212.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3450 + ... + 3510.

2212280 is an apocalyptic number.

212280 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 212280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

212280 is an abundant number, since it is smaller than the sum of its proper divisors (457320).

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

212280 is a wasteful number, since it uses less digits than its factorization.

212280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212280 is about 460.7385375677. The cubic root of 212280 is about 59.6535590501.

Adding to 212280 its reverse (82212), we get a palindrome (294492).

The spelling of 212280 in words is "two hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 61 87 116 120 122 145 174 183 232 244 290 305 348 366 435 488 580 610 696 732 870 915 1160 1220 1464 1740 1769 1830 2440 3480 3538 3660 5307 7076 7320 8845 10614 14152 17690 21228 26535 35380 42456 53070 70760 106140 212280