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213892965 = 325111343773
BaseRepresentation
bin11001011111110…
…11111101100101
3112220110212222200
430233323331211
5414224033330
633120245113
75205026436
oct1457737545
9486425880
10213892965
11aa811a50
125b770799
133540cab0
142059b48d
1513ba0a60
hexcbfbf65

213892965 has 96 divisors (see below), whose sum is σ = 446269824. Its totient is φ = 93381120.

The previous prime is 213892957. The next prime is 213892969. The reversal of 213892965 is 569298312.

It is not a de Polignac number, because 213892965 - 23 = 213892957 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 213892965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213892969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276319 + ... + 277091.

It is an arithmetic number, because the mean of its divisors is an integer number (4648644).

Almost surely, 2213892965 is an apocalyptic number.

It is an amenable number.

213892965 is an abundant number, since it is smaller than the sum of its proper divisors (232376859).

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

213892965 is a wasteful number, since it uses less digits than its factorization.

213892965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 848 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 213892965 is about 14625.0799997812. The cubic root of 213892965 is about 598.0426633320.

The spelling of 213892965 in words is "two hundred thirteen million, eight hundred ninety-two thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 11 13 15 33 39 43 45 55 65 99 117 129 143 165 195 215 387 429 473 495 559 585 645 715 773 1287 1419 1677 1935 2145 2319 2365 2795 3865 4257 5031 6149 6435 6957 7095 8385 8503 10049 11595 18447 21285 25155 25509 30147 30745 33239 34785 42515 50245 55341 76527 90441 92235 99717 110539 127545 150735 166195 276705 299151 331617 365629 382635 432107 452205 498585 552695 994851 1096887 1296321 1495755 1658085 1828145 2160535 3290661 3888963 4753177 4974255 5484435 6481605 14259531 16453305 19444815 23765885 42778593 71297655 213892965