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22248135 = 3357131811
BaseRepresentation
bin101010011011…
…1101011000111
31112212022201000
41110313223013
521143420020
62112504343
7360051240
oct124675307
945768630
1022248135
1111616398
12754b0b3
1347bc7a0
142d51cc7
151e47090
hex1537ac7

22248135 has 64 divisors (see below), whose sum is σ = 48706560. Its totient is φ = 9383040.

The previous prime is 22248119. The next prime is 22248139. The reversal of 22248135 is 53184222.

It is not a de Polignac number, because 22248135 - 24 = 22248119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22248099 and 22248108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22248139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11380 + ... + 13190.

It is an arithmetic number, because the mean of its divisors is an integer number (761040).

Almost surely, 222248135 is an apocalyptic number.

22248135 is an abundant number, since it is smaller than the sum of its proper divisors (26458425).

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

22248135 is a wasteful number, since it uses less digits than its factorization.

22248135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 22248135 is about 4716.7928722809. The cubic root of 22248135 is about 281.2534577353.

The spelling of 22248135 in words is "twenty-two million, two hundred forty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 1811 2457 4095 5433 9055 12285 12677 16299 23543 27165 38031 48897 63385 70629 81495 114093 117715 164801 190155 211887 244485 342279 353145 494403 570465 635661 824005 1059435 1483209 1711395 2472015 3178305 4449627 7416045 22248135