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212234413224 = 2331011131276101
BaseRepresentation
bin1100010110101000101…
…0000010010010101000
3202021210222111021100010
43011222022002102220
511434124002210344
6241255452011520
721222236514141
oct3055212022250
9667728437303
10212234413224
118200a87aa09
1235170a60ba0
1317023bc9942
14a3b4cbcac8
1557c259a8b9
hex316a2824a8

212234413224 has 128 divisors (see below), whose sum is σ = 544927150080. Its totient is φ = 68866560000.

The previous prime is 212234413219. The next prime is 212234413229. The reversal of 212234413224 is 422314432212.

212234413224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212234413219) and next prime (212234413229).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212234413191 and 212234413200.

It is not an unprimeable number, because it can be changed into a prime (212234413229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34783774 + ... + 34789874.

It is an arithmetic number, because the mean of its divisors is an integer number (4257243360).

Almost surely, 2212234413224 is an apocalyptic number.

212234413224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212234413224 is an abundant number, since it is smaller than the sum of its proper divisors (332692736856).

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

212234413224 is a wasteful number, since it uses less digits than its factorization.

212234413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6447 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 212234413224 its reverse (422314432212), we get a palindrome (634548845436).

The spelling of 212234413224 in words is "two hundred twelve billion, two hundred thirty-four million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 101 113 127 202 226 254 303 339 381 404 452 508 606 678 762 808 904 1016 1212 1356 1524 2424 2712 3048 6101 11413 12202 12827 14351 18303 22826 24404 25654 28702 34239 36606 38481 43053 45652 48808 51308 57404 68478 73212 76962 86106 91304 102616 114808 136956 146424 153924 172212 273912 307848 344424 616201 689413 774827 1232402 1378826 1449451 1549654 1848603 2068239 2324481 2464804 2757652 2898902 3099308 3697206 4136478 4348353 4648962 4929608 5515304 5797804 6198616 7394412 8272956 8696706 9297924 11595608 14788824 16545912 17393412 18595848 34786824 69630713 78257527 87555451 139261426 156515054 175110902 208892139 234772581 262666353 278522852 313030108 350221804 417784278 469545162 525332706 557045704 626060216 700443608 835568556 939090324 1050665412 1671137112 1878180648 2101330824 8843100551 17686201102 26529301653 35372402204 53058603306 70744804408 106117206612 212234413224