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213353540 = 22510667677
BaseRepresentation
bin11001011011110…
…00010001000100
3112212110111000222
430231320101010
5414104303130
633100523512
75200321661
oct1455702104
9485414028
10213353540
11aa483744
125b550598
13352813ca
142049aa68
1513ae5ce5
hexcb78444

213353540 has 12 divisors (see below), whose sum is σ = 448042476. Its totient is φ = 85341408.

The previous prime is 213353531. The next prime is 213353549. The reversal of 213353540 is 45353312.

It is an interprime number because it is at equal distance from previous prime (213353531) and next prime (213353549).

It can be written as a sum of positive squares in 2 ways, for example, as 51351556 + 162001984 = 7166^2 + 12728^2 .

It is not an unprimeable number, because it can be changed into a prime (213353549) 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, 5333819 + ... + 5333858.

It is an arithmetic number, because the mean of its divisors is an integer number (37336873).

Almost surely, 2213353540 is an apocalyptic number.

213353540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213353540 is an abundant number, since it is smaller than the sum of its proper divisors (234688936).

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

213353540 is a wasteful number, since it uses less digits than its factorization.

213353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667686 (or 10667684 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 213353540 is about 14606.6265783719. The cubic root of 213353540 is about 597.5394977478.

The spelling of 213353540 in words is "two hundred thirteen million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 10667677 21335354 42670708 53338385 106676770 213353540