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212401431224 = 231943197916421
BaseRepresentation
bin1100010111010000011…
…1001010001010111000
3202022020121202122221222
43011310013022022320
511434444231244344
6241324215451212
721226335243113
oct3056407121270
9668217678858
10212401431224
1182096086014
12351b8986b08
131704c6a6868
14a3cd15757a
1557d208c5ee
hex31741ca2b8

212401431224 has 64 divisors (see below), whose sum is σ = 429205392000. Its totient is φ = 98215770240.

The previous prime is 212401431199. The next prime is 212401431239. The reversal of 212401431224 is 422134104212.

It is a super-2 number, since 2×2124014312242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212401431193 and 212401431202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12926534 + ... + 12942954.

It is an arithmetic number, because the mean of its divisors is an integer number (6706334250).

Almost surely, 2212401431224 is an apocalyptic number.

It is an amenable number.

212401431224 is an abundant number, since it is smaller than the sum of its proper divisors (216803960776).

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

212401431224 is a wasteful number, since it uses less digits than its factorization.

212401431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18468 (or 18464 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 212401431224 its reverse (422134104212), we get a palindrome (634535535436).

The spelling of 212401431224 in words is "two hundred twelve billion, four hundred one million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 19 38 43 76 86 152 172 344 817 1634 1979 3268 3958 6536 7916 15832 16421 32842 37601 65684 75202 85097 131368 150404 170194 300808 311999 340388 623998 680776 706103 1247996 1412206 1616843 2495992 2824412 3233686 5648824 6467372 12934744 13415957 26831914 32497159 53663828 64994318 107327656 129988636 259977272 617446021 1234892042 1397377837 2469784084 2794755674 4939568168 5589511348 11179022696 26550178903 53100357806 106200715612 212401431224