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212422240 = 2559713687
BaseRepresentation
bin11001010100101…
…00111001100000
3112210201011112101
430222110321200
5413340002430
633024540144
75156362552
oct1452247140
9483634471
10212422240
11a99a7a78
125b181654
1335016544
14202d74d2
15139aedca
hexca94e60

212422240 has 48 divisors (see below), whose sum is σ = 507058272. Its totient is φ = 84086784.

The previous prime is 212422219. The next prime is 212422241. The reversal of 212422240 is 42224212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212422241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8677 + ... + 22363.

It is an arithmetic number, because the mean of its divisors is an integer number (10563714).

Almost surely, 2212422240 is an apocalyptic number.

212422240 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 212422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253529136).

212422240 is an abundant number, since it is smaller than the sum of its proper divisors (294636032).

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

212422240 is a wasteful number, since it uses less digits than its factorization.

212422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13791 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 212422240 is about 14574.7123470757. The cubic root of 212422240 is about 596.6687986497.

Adding to 212422240 its reverse (42224212), we get a palindrome (254646452).

The spelling of 212422240 in words is "two hundred twelve million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 13687 15520 27374 54748 68435 109496 136870 218992 273740 437984 547480 1094960 1327639 2189920 2655278 5310556 6638195 10621112 13276390 21242224 26552780 42484448 53105560 106211120 212422240