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212224043430 = 23257857393073
BaseRepresentation
bin1100010110100110001…
…0011110100110100110
3202021210020222102122200
43011221202132212212
511434113323342210
6241254441435330
721222052414410
oct3055142364646
9667706872580
10212224043430
1182004a37a33
123516949bb46
1317021a08979
14a3b377d9b0
1557c16ed0c0
hex316989e9a6

212224043430 has 96 divisors (see below), whose sum is σ = 631346025024. Its totient is φ = 48451627008.

The previous prime is 212224043407. The next prime is 212224043431. The reversal of 212224043430 is 34340422212.

212224043430 is a `hidden beast` number, since 2 + 1 + 2 + 224 + 0 + 4 + 3 + 430 = 666.

212224043430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212224043394 and 212224043403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212224043431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343374 + ... + 736446.

It is an arithmetic number, because the mean of its divisors is an integer number (6576521094).

Almost surely, 2212224043430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212224043430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315673012512).

212224043430 is an abundant number, since it is smaller than the sum of its proper divisors (419121981594).

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

212224043430 is a wasteful number, since it uses less digits than its factorization.

212224043430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393950 (or 393947 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 212224043430 its reverse (34340422212), we get a palindrome (246564465642).

The spelling of 212224043430 in words is "two hundred twelve billion, two hundred twenty-four million, forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 857 1714 2571 4285 5142 5999 7713 8570 11998 12855 15426 17997 25710 29995 35994 38565 53991 59990 77130 89985 107982 179970 269955 393073 539910 786146 1179219 1965365 2358438 2751511 3537657 3930730 5503022 5896095 7075314 8254533 11792190 13757555 16509066 17688285 24763599 27515110 35376570 41272665 49527198 82545330 123817995 247635990 336863561 673727122 1010590683 1684317805 2021181366 2358044927 3031772049 3368635610 4716089854 5052953415 6063544098 7074134781 10105906830 11790224635 14148269562 15158860245 21222404343 23580449270 30317720490 35370673905 42444808686 70741347810 106112021715 212224043430