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213487965 = 32537128221
BaseRepresentation
bin11001011100110…
…01000101011101
3112212201022102200
430232121011131
5414123103330
633103442113
75201421615
oct1456310535
9485638380
10213487965
11aa565739
125b5b6339
13352ca652
14204d3a45
1513b20a60
hexcb9915d

213487965 has 24 divisors (see below), whose sum is σ = 380050008. Its totient is φ = 110782080.

The previous prime is 213487961. The next prime is 213487969. The reversal of 213487965 is 569784312.

It is an interprime number because it is at equal distance from previous prime (213487961) and next prime (213487969).

It can be written as a sum of positive squares in 4 ways, for example, as 57062916 + 156425049 = 7554^2 + 12507^2 .

It is not a de Polignac number, because 213487965 - 22 = 213487961 is a prime.

It is a super-2 number, since 2×2134879652 = 91154222399682450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213487965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213487961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62446 + ... + 65775.

It is an arithmetic number, because the mean of its divisors is an integer number (15835417).

Almost surely, 2213487965 is an apocalyptic number.

It is an amenable number.

213487965 is a deficient number, since it is larger than the sum of its proper divisors (166562043).

213487965 is a wasteful number, since it uses less digits than its factorization.

213487965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128269 (or 128266 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213487965 is about 14611.2273611767. The cubic root of 213487965 is about 597.6649661500.

The spelling of 213487965 in words is "two hundred thirteen million, four hundred eighty-seven thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 128221 384663 641105 1153989 1923315 4744177 5769945 14232531 23720885 42697593 71162655 213487965