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212040224 = 25114314009
BaseRepresentation
bin11001010001101…
…11101000100000
3112202222202111122
430220313220200
5413240241344
633012431412
75153212034
oct1450675040
9482882448
10212040224
11a9766a60
125b018568
1334c116b6
14202381c4
1513936aee
hexca37a20

212040224 has 48 divisors (see below), whose sum is σ = 466028640. Its totient is φ = 94133760.

The previous prime is 212040223. The next prime is 212040263. The reversal of 212040224 is 422040212.

It is a happy number.

It is a super-2 number, since 2×2120402242 = 89922113187940352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212040221) 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, 8132 + ... + 22140.

It is an arithmetic number, because the mean of its divisors is an integer number (9708930).

Almost surely, 2212040224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233014320).

212040224 is an abundant number, since it is smaller than the sum of its proper divisors (253988416).

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

212040224 is a wasteful number, since it uses less digits than its factorization.

212040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14073 (or 14065 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 212040224 is about 14561.6010108779. The cubic root of 212040224 is about 596.3109048566.

Adding to 212040224 its reverse (422040212), we get a palindrome (634080436).

The spelling of 212040224 in words is "two hundred twelve million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 14009 15136 28018 56036 112072 154099 224144 308198 448288 602387 616396 1204774 1232792 2409548 2465584 4819096 4931168 6626257 9638192 13252514 19276384 26505028 53010056 106020112 212040224