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20503224 = 23327172393
BaseRepresentation
bin100111000110…
…1101010111000
31102120200010200
41032031222320
520222100344
62011242200
7336163110
oct116155270
942520120
1020503224
1110634415
126a49360
13432b4b1
142a1a040
151c00069
hex138dab8

20503224 has 96 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 5511168.

The previous prime is 20503213. The next prime is 20503229. The reversal of 20503224 is 42230502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20503197 and 20503206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20503229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7372 + ... + 9764.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 220503224 is an apocalyptic number.

20503224 is a gapful number since it is divisible by the number (24) 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 20503224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

20503224 is an abundant number, since it is smaller than the sum of its proper divisors (46720296).

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

20503224 is a wasteful number, since it uses less digits than its factorization.

20503224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20503224 is about 4528.0485863118. The cubic root of 20503224 is about 273.6995303217.

Adding to 20503224 its reverse (42230502), we get a palindrome (62733726).

The spelling of 20503224 in words is "twenty million, five hundred three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2393 2856 4284 4786 7179 8568 9572 14358 16751 19144 21537 28716 33502 40681 43074 50253 57432 67004 81362 86148 100506 122043 134008 150759 162724 172296 201012 244086 284767 301518 325448 366129 402024 488172 569534 603036 732258 854301 976344 1139068 1206072 1464516 1708602 2278136 2562903 2929032 3417204 5125806 6834408 10251612 20503224