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212220032 = 279771697
BaseRepresentation
bin11001010011000…
…11100010000000
3112210022220011012
430221203202000
5413312020112
633020340052
75154561203
oct1451434200
9483286135
10212220032
11a987a062
125b0a4628
1334c754ab
142028393a
1513970022
hexca63880

212220032 has 32 divisors (see below), whose sum is σ = 423464220. Its totient is φ = 105938944.

The previous prime is 212220031. The next prime is 212220053. The reversal of 212220032 is 230022212.

It can be written as a sum of positive squares in 2 ways, for example, as 152374336 + 59845696 = 12344^2 + 7736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 212219989 and 212220016.

It is not an unprimeable number, because it can be changed into a prime (212220031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124208 + ... + 125904.

Almost surely, 2212220032 is an apocalyptic number.

It is an amenable number.

212220032 is a deficient number, since it is larger than the sum of its proper divisors (211244188).

212220032 is an equidigital number, since it uses as much as digits as its factorization.

212220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212220032 is about 14567.7737489295. The cubic root of 212220032 is about 596.4794124725.

Adding to 212220032 its reverse (230022212), we get a palindrome (442242244).

The spelling of 212220032 in words is "two hundred twelve million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 977 1697 1954 3394 3908 6788 7816 13576 15632 27152 31264 54304 62528 108608 125056 217216 1657969 3315938 6631876 13263752 26527504 53055008 106110016 212220032