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212353024 = 21413997
BaseRepresentation
bin11001010100001…
…00000000000000
3112210120122120211
430222010000000
5413330244044
633023243504
75155654012
oct1452040000
9483518524
10212353024
11a995aa74
125b149594
1334cc0ba0
14202ba1b2
1513999634
hexca84000

212353024 has 60 divisors (see below), whose sum is σ = 457820524. Its totient is φ = 97910784.

The previous prime is 212353013. The next prime is 212353039. The reversal of 212353024 is 420353212.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 104857600 = 10368^2 + 10240^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 212352986 and 212353004.

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, 212494 + ... + 213490.

Almost surely, 2212353024 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 212353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228910262).

212353024 is an abundant number, since it is smaller than the sum of its proper divisors (245467500).

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

212353024 is an frugal number, since it uses more digits than its factorization.

212353024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 212353024 is about 14572.3376299069. The cubic root of 212353024 is about 596.6039851066.

The spelling of 212353024 in words is "two hundred twelve million, three hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 997 1024 1664 1994 2048 3328 3988 4096 6656 7976 8192 12961 13312 15952 16384 25922 26624 31904 51844 53248 63808 103688 106496 127616 207376 212992 255232 414752 510464 829504 1020928 1659008 2041856 3318016 4083712 6636032 8167424 13272064 16334848 26544128 53088256 106176512 212353024