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212433320 = 23511482803
BaseRepresentation
bin11001010100101…
…11100110101000
3112210201201201202
430222113212220
5413340331240
633025103332
75156440061
oct1452274650
9483651652
10212433320
11a9a05330
125b187b48
133501b5b8
14202db568
15139b3315
hexca979a8

212433320 has 32 divisors (see below), whose sum is σ = 521428320. Its totient is φ = 77248320.

The previous prime is 212433301. The next prime is 212433329. The reversal of 212433320 is 23334212.

212433320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212433292 and 212433301.

It is not an unprimeable number, because it can be changed into a prime (212433329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240962 + ... + 241841.

It is an arithmetic number, because the mean of its divisors is an integer number (16294635).

Almost surely, 2212433320 is an apocalyptic number.

212433320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212433320 is an abundant number, since it is smaller than the sum of its proper divisors (308995000).

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

212433320 is a wasteful number, since it uses less digits than its factorization.

212433320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482825 (or 482821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 212433320 is about 14575.0924525370. The cubic root of 212433320 is about 596.6791726032.

Adding to 212433320 its reverse (23334212), we get a palindrome (235767532).

The spelling of 212433320 in words is "two hundred twelve million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 482803 965606 1931212 2414015 3862424 4828030 5310833 9656060 10621666 19312120 21243332 26554165 42486664 53108330 106216660 212433320