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20272224 = 253797311
BaseRepresentation
bin100110101010…
…1010001100000
31102010221021010
41031111101200
520142202344
62002300520
7334211460
oct115252140
942127233
1020272224
1110496905
126957740
13427a2cb
142999ba0
151ba68b9
hex1355460

20272224 has 96 divisors (see below), whose sum is σ = 61641216. Its totient is φ = 5713920.

The previous prime is 20272207. The next prime is 20272229. The reversal of 20272224 is 42227202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×202722243 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20272224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20272229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65029 + ... + 65339.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 220272224 is an apocalyptic number.

20272224 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 20272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820608).

20272224 is an abundant number, since it is smaller than the sum of its proper divisors (41368992).

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

20272224 is a wasteful number, since it uses less digits than its factorization.

20272224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20272224 is about 4502.4686561930. The cubic root of 20272224 is about 272.6677652794.

Adding to 20272224 its reverse (42227202), we get a palindrome (62499426).

The spelling of 20272224 in words is "twenty million, two hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 311 336 388 582 622 672 679 776 933 1164 1244 1358 1552 1866 2037 2177 2328 2488 2716 3104 3732 4074 4354 4656 4976 5432 6531 7464 8148 8708 9312 9952 10864 13062 14928 16296 17416 21728 26124 29856 30167 32592 34832 52248 60334 65184 69664 90501 104496 120668 181002 208992 211169 241336 362004 422338 482672 633507 724008 844676 965344 1267014 1448016 1689352 2534028 2896032 3378704 5068056 6757408 10136112 20272224