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213523780 = 22510676189
BaseRepresentation
bin11001011101000…
…01110101000100
3112212210010120011
430232201311010
5414130230110
633104320004
75201631211
oct1456416504
9485703504
10213523780
11aa58a638
125b613004
1335310a42
1420502b08
1513b2b48a
hexcba1d44

213523780 has 12 divisors (see below), whose sum is σ = 448399980. Its totient is φ = 85409504.

The previous prime is 213523741. The next prime is 213523787. The reversal of 213523780 is 87325312.

It can be written as a sum of positive squares in 2 ways, for example, as 57972996 + 155550784 = 7614^2 + 12472^2 .

It is not an unprimeable number, because it can be changed into a prime (213523787) 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 3 ways as a sum of consecutive naturals, for example, 5338075 + ... + 5338114.

It is an arithmetic number, because the mean of its divisors is an integer number (37366665).

Almost surely, 2213523780 is an apocalyptic number.

213523780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213523780 is an abundant number, since it is smaller than the sum of its proper divisors (234876200).

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

213523780 is a wasteful number, since it uses less digits than its factorization.

213523780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676198 (or 10676196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 213523780 is about 14612.4529083929. The cubic root of 213523780 is about 597.6983859478.

The spelling of 213523780 in words is "two hundred thirteen million, five hundred twenty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 10676189 21352378 42704756 53380945 106761890 213523780