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213324032 = 284319379
BaseRepresentation
bin11001011011100…
…01000100000000
3112212101222120002
430231301010000
5414102332112
633100135132
75200136645
oct1455610400
9485358502
10213324032
11aa463559
125b5374a8
1335270b4c
142048ddcc
1513adc1c2
hexcb71100

213324032 has 36 divisors (see below), whose sum is σ = 435739920. Its totient is φ = 104176128.

The previous prime is 213324017. The next prime is 213324073. The reversal of 213324032 is 230423312.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 213323995 and 213324013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1319 + ... + 20697.

Almost surely, 2213324032 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 213324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217869960).

213324032 is an abundant number, since it is smaller than the sum of its proper divisors (222415888).

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

213324032 is an equidigital number, since it uses as much as digits as its factorization.

213324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19438 (or 19424 counting only the distinct ones).

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

The square root of 213324032 is about 14605.6164539536. The cubic root of 213324032 is about 597.5119487815.

Adding to 213324032 its reverse (230423312), we get a palindrome (443747344).

The spelling of 213324032 in words is "two hundred thirteen million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 688 1376 2752 5504 11008 19379 38758 77516 155032 310064 620128 833297 1240256 1666594 2480512 3333188 4961024 6666376 13332752 26665504 53331008 106662016 213324032