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213345660 = 223511323251
BaseRepresentation
bin11001011011101…
…10010101111100
3112212110002020010
430231312111330
5414104030120
633100423220
75200260003
oct1455662574
9485402203
10213345660
11aa478830
125b547b10
133527a948
1420497c3a
1513ae37e0
hexcb7657c

213345660 has 48 divisors (see below), whose sum is σ = 651676032. Its totient is φ = 51720000.

The previous prime is 213345653. The next prime is 213345697. The reversal of 213345660 is 66543312.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160966 + ... + 162285.

It is an arithmetic number, because the mean of its divisors is an integer number (13576584).

Almost surely, 2213345660 is an apocalyptic number.

213345660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213345660 is an abundant number, since it is smaller than the sum of its proper divisors (438330372).

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

213345660 is a wasteful number, since it uses less digits than its factorization.

213345660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323274 (or 323272 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 213345660 is about 14606.3568352961. The cubic root of 213345660 is about 597.5321411490.

Adding to 213345660 its reverse (66543312), we get a palindrome (279888972).

The spelling of 213345660 in words is "two hundred thirteen million, three hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 323251 646502 969753 1293004 1616255 1939506 3232510 3555761 3879012 4848765 6465020 7111522 9697530 10667283 14223044 17778805 19395060 21334566 35557610 42669132 53336415 71115220 106672830 213345660