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20215712 = 2511223227
BaseRepresentation
bin100110100011…
…1011110100000
31102001001202002
41031013132200
520133400322
62001143132
7333554636
oct115073640
942031662
1020215712
1110458400
12692aaa8
13425a67a
142983356
151b94c92
hex13477a0

20215712 has 72 divisors (see below), whose sum is σ = 45849888. Its totient is φ = 8750720.

The previous prime is 20215711. The next prime is 20215721. The reversal of 20215712 is 21751202.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20215711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88943 + ... + 89169.

It is an arithmetic number, because the mean of its divisors is an integer number (636804).

Almost surely, 220215712 is an apocalyptic number.

20215712 is a gapful number since it is divisible by the number (22) 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 20215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22924944).

20215712 is an abundant number, since it is smaller than the sum of its proper divisors (25634176).

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

20215712 is a wasteful number, since it uses less digits than its factorization.

20215712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 20215712 is about 4496.1886081436. The cubic root of 20215712 is about 272.4141614436.

Adding to 20215712 its reverse (21751202), we get a palindrome (41966914).

The spelling of 20215712 in words is "twenty million, two hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 227 242 253 352 368 454 484 506 736 908 968 1012 1816 1936 2024 2497 2783 3632 3872 4048 4994 5221 5566 7264 8096 9988 10442 11132 19976 20884 22264 27467 39952 41768 44528 54934 57431 79904 83536 89056 109868 114862 167072 219736 229724 439472 459448 631741 878944 918896 1263482 1837792 2526964 5053928 10107856 20215712