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213497865 = 32574161271
BaseRepresentation
bin11001011100110…
…11100000001001
3112212201211000100
430232123200021
5414123412430
633104000013
75201462520
oct1456334011
9485654010
10213497865
11aa572119
125b600009
1335301cc9
14204d74b7
1513b23960
hexcb9b809

213497865 has 96 divisors (see below), whose sum is σ = 441971712. Its totient is φ = 93312000.

The previous prime is 213497861. The next prime is 213497897. The reversal of 213497865 is 568794312.

It is not a de Polignac number, because 213497865 - 22 = 213497861 is a prime.

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 213497865.

It is not an unprimeable number, because it can be changed into a prime (213497861) 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 95 ways as a sum of consecutive naturals, for example, 787680 + ... + 787950.

It is an arithmetic number, because the mean of its divisors is an integer number (4603872).

Almost surely, 2213497865 is an apocalyptic number.

It is an amenable number.

213497865 is an abundant number, since it is smaller than the sum of its proper divisors (228473847).

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

213497865 is a wasteful number, since it uses less digits than its factorization.

213497865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

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

The square root of 213497865 is about 14611.5661378238. The cubic root of 213497865 is about 597.6742044408.

It can be divided in two parts, 2134 and 97865, that added together give a palindrome (99999).

The spelling of 213497865 in words is "two hundred thirteen million, four hundred ninety-seven thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 61 63 105 123 183 205 271 287 305 315 369 427 549 615 813 861 915 1281 1355 1435 1845 1897 2135 2439 2501 2583 2745 3843 4065 4305 5691 6405 7503 9485 11111 12195 12505 12915 16531 17073 17507 19215 22509 28455 33333 37515 49593 52521 55555 77777 82655 85365 87535 99999 112545 115717 148779 157563 166665 233331 247965 262605 347151 388885 499995 578585 677771 699993 743895 787815 1041453 1166655 1735755 2033313 3388855 3499965 4744397 5207265 6099939 10166565 14233191 23721985 30499695 42699573 71165955 213497865