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212414402224 = 24711294114449
BaseRepresentation
bin1100010111010011100…
…0101000111010110000
3202022021112011122211101
43011310320220322300
511440011041332344
6241325401454144
721226553425333
oct3056470507260
9668245148741
10212414402224
11820a2435352
12352011a1354
13170522987cb
14a3d0b7261a
1557d32a09d4
hex3174e28eb0

212414402224 has 40 divisors (see below), whose sum is σ = 417410560800. Its totient is φ = 104695987200.

The previous prime is 212414402219. The next prime is 212414402227. The reversal of 212414402224 is 422204414212.

It is a happy number.

It is a super-2 number, since 2×2124144022242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212414402192 and 212414402201.

It is not an unprimeable number, because it can be changed into a prime (212414402227) 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, 14693752 + ... + 14708200.

It is an arithmetic number, because the mean of its divisors is an integer number (10435264020).

Almost surely, 2212414402224 is an apocalyptic number.

It is an amenable number.

212414402224 is a deficient number, since it is larger than the sum of its proper divisors (204996158576).

212414402224 is a wasteful number, since it uses less digits than its factorization.

212414402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27469 (or 27463 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 212414402224 its reverse (422204414212), we get a palindrome (634618816436).

The spelling of 212414402224 in words is "two hundred twelve billion, four hundred fourteen million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 71 142 284 568 1136 12941 14449 25882 28898 51764 57796 103528 115592 207056 231184 918811 1025879 1837622 2051758 3675244 4103516 7350488 8207032 14700976 16414064 186984509 373969018 747938036 1495876072 2991752144 13275900139 26551800278 53103600556 106207201112 212414402224