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213458500 = 2253426917
BaseRepresentation
bin11001011100100…
…01111001000100
3112212122211000101
430232101321010
5414121133000
633103053444
75201236663
oct1456217104
9485584011
10213458500
11aa545592
125b5a1284
13352ba108
14204c6dda
1513b16e6a
hexcb91e44

213458500 has 24 divisors (see below), whose sum is σ = 466194456. Its totient is φ = 85383200.

The previous prime is 213458461. The next prime is 213458501. The reversal of 213458500 is 5854312.

It can be written as a sum of positive squares in 4 ways, for example, as 16112196 + 197346304 = 4014^2 + 14048^2 .

It is not an unprimeable number, because it can be changed into a prime (213458501) 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 7 ways as a sum of consecutive naturals, for example, 212959 + ... + 213958.

It is an arithmetic number, because the mean of its divisors is an integer number (19424769).

Almost surely, 2213458500 is an apocalyptic number.

213458500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213458500 is an abundant number, since it is smaller than the sum of its proper divisors (252735956).

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

213458500 is a wasteful number, since it uses less digits than its factorization.

213458500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426936 (or 426924 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 213458500 is about 14610.2190264212. The cubic root of 213458500 is about 597.6374688802.

The spelling of 213458500 in words is "two hundred thirteen million, four hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 426917 853834 1707668 2134585 4269170 8538340 10672925 21345850 42691700 53364625 106729250 213458500