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212233333032 = 233371063132047
BaseRepresentation
bin1100010110101000010…
…1111010100100101000
3202021210220110101121000
43011222011322210220
511434123213124112
6241255412515000
721222224364660
oct3055205724450
9667726411530
10212233333032
118200a202396
123517061ba60
131702390c086
14a3b4abb1a0
1557c24357dc
hex316a17a928

212233333032 has 128 divisors (see below), whose sum is σ = 674395545600. Its totient is φ = 60580592064.

The previous prime is 212233333027. The next prime is 212233333063. The reversal of 212233333032 is 230333332212.

212233333032 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 333 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212233332987 and 212233333005.

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 31 ways as a sum of consecutive naturals, for example, 1541233 + ... + 1673279.

It is an arithmetic number, because the mean of its divisors is an integer number (5268715200).

Almost surely, 2212233333032 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 212233333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337197772800).

212233333032 is an abundant number, since it is smaller than the sum of its proper divisors (462162212568).

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

212233333032 is a wasteful number, since it uses less digits than its factorization.

212233333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133132 (or 133122 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 212233333032 its reverse (230333332212), we get a palindrome (442566665244).

The spelling of 212233333032 in words is "two hundred twelve billion, two hundred thirty-three million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1063 1512 2126 3189 4252 6378 7441 8504 9567 12756 14882 19134 22323 25512 28701 29764 38268 44646 57402 59528 66969 76536 89292 114804 132047 133938 178584 200907 229608 264094 267876 396141 401814 528188 535752 792282 803628 924329 1056376 1188423 1584564 1607256 1848658 2376846 2772987 3169128 3565269 3697316 4753692 5545974 7130538 7394632 8318961 9507384 11091948 14261076 16637922 22183896 24956883 28522152 33275844 49913766 66551688 99827532 140365961 199655064 280731922 421097883 561463844 842195766 982561727 1122927688 1263293649 1684391532 1965123454 2526587298 2947685181 3368783064 3789880947 3930246908 5053174596 5895370362 7579761894 7860493816 8843055543 10106349192 11790740724 15159523788 17686111086 23581481448 26529166629 30319047576 35372222172 53058333258 70744444344 106116666516 212233333032