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2264535 = 325721379
BaseRepresentation
bin1000101000110111010111
311021001100200
420220313113
51034431120
6120311543
725151100
oct10506727
94231320
102264535
111307419
129125b3
13613980
1442d3a7
152eae90
hex228dd7

2264535 has 72 divisors (see below), whose sum is σ = 4979520. Its totient is φ = 943488.

The previous prime is 2264513. The next prime is 2264539. The reversal of 2264535 is 5354622.

It is not a de Polignac number, because 2264535 - 28 = 2264279 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2264499 and 2264508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264539) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28626 + ... + 28704.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

22264535 is an apocalyptic number.

2264535 is an abundant number, since it is smaller than the sum of its proper divisors (2714985).

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

2264535 is a wasteful number, since it uses less digits than its factorization.

2264535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2264535 is about 1504.8372004971. The cubic root of 2264535 is about 131.3186307733.

It can be divided in two parts, 226 and 4535, that added together give a square (4761 = 692).

The spelling of 2264535 in words is "two million, two hundred sixty-four thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 79 91 105 117 147 195 237 245 273 315 395 441 455 553 585 637 711 735 819 1027 1185 1365 1659 1911 2205 2765 3081 3185 3555 3871 4095 4977 5135 5733 7189 8295 9243 9555 11613 15405 19355 21567 24885 28665 34839 35945 46215 50323 58065 64701 107835 150969 174195 251615 323505 452907 754845 2264535