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212222320032 = 25327125793163
BaseRepresentation
bin1100010110100101101…
…1111001110110100000
3202021210010201212121010
43011221123321312200
511434112403220112
6241254340500520
721222031646052
oct3055133716640
9667703655533
10212222320032
1182003a70138
12351689aa740
13170215543c8
14a3b34518d2
1557c14ac63c
hex31696f9da0

212222320032 has 96 divisors (see below), whose sum is σ = 559532897280. Its totient is φ = 70430135040.

The previous prime is 212222320019. The next prime is 212222320061. The reversal of 212222320032 is 230023222212.

212222320032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212222319990 and 212222320008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67093683 + ... + 67096845.

It is an arithmetic number, because the mean of its divisors is an integer number (5828467680).

Almost surely, 2212222320032 is an apocalyptic number.

It is an amenable number.

212222320032 is an abundant number, since it is smaller than the sum of its proper divisors (347310577248).

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

212222320032 is a wasteful number, since it uses less digits than its factorization.

212222320032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 212222320032 its reverse (230023222212), we get a palindrome (442245542244).

The spelling of 212222320032 in words is "two hundred twelve billion, two hundred twenty-two million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 271 542 813 1084 1626 2168 2579 3163 3252 4336 5158 6326 6504 7737 8672 9489 10316 12652 13008 15474 18978 20632 25304 26016 30948 37956 41264 50608 61896 75912 82528 101216 123792 151824 247584 303648 698909 857173 1397818 1714346 2096727 2571519 2795636 3428692 4193454 5143038 5591272 6857384 8157377 8386908 10286076 11182544 13714768 16314754 16773816 20572152 22365088 24472131 27429536 32629508 33547632 41144304 48944262 65259016 67095264 82288608 97888524 130518032 195777048 261036064 391554096 783108192 2210649167 4421298334 6631947501 8842596668 13263895002 17685193336 26527790004 35370386672 53055580008 70740773344 106111160016 212222320032