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212535216 = 24321977681
BaseRepresentation
bin11001010101100…
…00011110110000
3112210220220111200
430222300132300
5413402111331
633031211200
75160343125
oct1452603660
9483826450
10212535216
11a9a74943
125b216b00
1335055aaa
142032674c
15139d35e6
hexcab07b0

212535216 has 60 divisors (see below), whose sum is σ = 626116920. Its totient is φ = 67115520.

The previous prime is 212535199. The next prime is 212535217. The reversal of 212535216 is 612535212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212535216.

It is not an unprimeable number, because it can be changed into a prime (212535217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36105 + ... + 41576.

It is an arithmetic number, because the mean of its divisors is an integer number (10435282).

Almost surely, 2212535216 is an apocalyptic number.

It is an amenable number.

212535216 is an abundant number, since it is smaller than the sum of its proper divisors (413581704).

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

212535216 is a wasteful number, since it uses less digits than its factorization.

212535216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77714 (or 77705 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 212535216 is about 14578.5875859083. The cubic root of 212535216 is about 596.7745586166.

The spelling of 212535216 in words is "two hundred twelve million, five hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 77681 155362 233043 310724 466086 621448 699129 932172 1242896 1398258 1475939 1864344 2796516 2951878 3728688 4427817 5593032 5903756 8855634 11186064 11807512 13283451 17711268 23615024 26566902 35422536 53133804 70845072 106267608 212535216