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212282837452 = 22747443364129
BaseRepresentation
bin1100010110110100001…
…0110000100111001100
3202021221100121110220001
43011231002300213030
511434223401244302
6241304341534044
721223365226510
oct3055502604714
9667840543801
10212282837452
1182035144834
1235185114324
1317030c52a2a
14a3bb4c6140
1557c6963787
hex316d0b09cc

212282837452 has 48 divisors (see below), whose sum is σ = 434578959360. Its totient is φ = 88841405952.

The previous prime is 212282837443. The next prime is 212282837489. The reversal of 212282837452 is 254738282212.

212282837452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2122828374524 (a number of 46 digits) contains 4444 as substring.

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, 400924 + ... + 765052.

It is an arithmetic number, because the mean of its divisors is an integer number (9053728320).

Almost surely, 2212282837452 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 212282837452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217289479680).

212282837452 is an abundant number, since it is smaller than the sum of its proper divisors (222296121908).

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

212282837452 is a wasteful number, since it uses less digits than its factorization.

212282837452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364630 (or 364628 counting only the distinct ones).

The product of its digits is 860160, while the sum is 46.

The spelling of 212282837452 in words is "two hundred twelve billion, two hundred eighty-two million, eight hundred thirty-seven thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 47 94 188 329 443 658 886 1316 1772 3101 6202 12404 20821 41642 83284 145747 291494 364129 582988 728258 1456516 2548903 5097806 10195612 17114063 34228126 68456252 119798441 161309147 239596882 322618294 479193764 645236588 1129164029 2258328058 4516656116 7581529909 15163059818 30326119636 53070709363 106141418726 212282837452