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21712192 = 263753173
BaseRepresentation
bin101001011010…
…0110101000000
31111212002112021
41102310311000
521024242232
62053211224
7352356565
oct122646500
944762467
1021712192
111128a767
127330b14
134662868
142c5286c
151d8d397
hex14b4d40

21712192 has 56 divisors (see below), whose sum is σ = 45345096. Its totient is φ = 10303488.

The previous prime is 21712169. The next prime is 21712211. The reversal of 21712192 is 29121712.

It can be written as a sum of positive squares in 4 ways, for example, as 14868736 + 6843456 = 3856^2 + 2616^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125418 + ... + 125590.

Almost surely, 221712192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22672548).

21712192 is an abundant number, since it is smaller than the sum of its proper divisors (23632904).

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

21712192 is a wasteful number, since it uses less digits than its factorization.

21712192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its digits is 504, while the sum is 25.

The square root of 21712192 is about 4659.6343204161. The cubic root of 21712192 is about 278.9766727241.

It can be divided in two parts, 21712 and 192, that added together give a square (21904 = 1482).

The spelling of 21712192 in words is "twenty-one million, seven hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 148 173 212 296 346 424 592 692 848 1184 1384 1696 1961 2368 2768 3392 3922 5536 6401 7844 9169 11072 12802 15688 18338 25604 31376 36676 51208 62752 73352 102416 125504 146704 204832 293408 339253 409664 586816 678506 1357012 2714024 5428048 10856096 21712192