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20172152 = 23711213229
BaseRepresentation
bin100110011110…
…0110101111000
31101221211222202
41030330311320
520131002102
62000205332
7333313640
oct114746570
941854882
1020172152
1110428700
126909848
1342438b0
142971520
151b86e02
hex133cd78

20172152 has 96 divisors (see below), whose sum is σ = 51391200. Its totient is φ = 7223040.

The previous prime is 20172137. The next prime is 20172157. The reversal of 20172152 is 25127102.

It is a super-2 number, since 2×201721522 = 813831432622208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20172157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87974 + ... + 88202.

It is an arithmetic number, because the mean of its divisors is an integer number (535325).

Almost surely, 220172152 is an apocalyptic number.

20172152 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 20172152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695600).

20172152 is an abundant number, since it is smaller than the sum of its proper divisors (31219048).

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

20172152 is a wasteful number, since it uses less digits than its factorization.

20172152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

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

The square root of 20172152 is about 4491.3418930204. The cubic root of 20172152 is about 272.2183583946.

Adding to 20172152 its reverse (25127102), we get a palindrome (45299254).

The spelling of 20172152 in words is "twenty million, one hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 229 242 286 308 364 458 484 572 616 728 847 916 968 1001 1144 1573 1603 1694 1832 2002 2519 2977 3146 3206 3388 4004 5038 5954 6292 6412 6776 8008 10076 11011 11908 12584 12824 17633 20152 20839 22022 23816 27709 32747 35266 41678 44044 55418 65494 70532 83356 88088 110836 130988 141064 166712 193963 221672 229229 261976 360217 387926 458458 720434 775852 916916 1440868 1551704 1833832 2521519 2881736 5043038 10086076 20172152