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2269060520 = 235373834003
BaseRepresentation
bin1000011100111111…
…0001110110101000
312212010122012212112
42013033301312220
514121334414040
61013053501452
7110141460536
oct20717616650
95763565775
102269060520
11a64909831
12533aa1888
132a213167c
141774d7156
15d430e365
hex873f1da8

2269060520 has 64 divisors (see below), whose sum is σ = 5258373120. Its totient is φ = 880568064.

The previous prime is 2269060513. The next prime is 2269060583. The reversal of 2269060520 is 250609622.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564839 + ... + 568841.

It is an arithmetic number, because the mean of its divisors is an integer number (82162080).

Almost surely, 22269060520 is an apocalyptic number.

2269060520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269060520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629186560).

2269060520 is an abundant number, since it is smaller than the sum of its proper divisors (2989312600).

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

2269060520 is a wasteful number, since it uses less digits than its factorization.

2269060520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4430 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2269060520 is about 47634.6567112643. The cubic root of 2269060520 is about 1314.0604969880.

The spelling of 2269060520 in words is "two billion, two hundred sixty-nine million, sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 383 740 766 1480 1532 1915 3064 3830 4003 7660 8006 14171 15320 16012 20015 28342 32024 40030 56684 70855 80060 113368 141710 148111 160120 283420 296222 566840 592444 740555 1184888 1481110 1533149 2962220 3066298 5924440 6132596 7665745 12265192 15331490 30662980 56726513 61325960 113453026 226906052 283632565 453812104 567265130 1134530260 2269060520