Search a number
-
+
20363224 = 237341181
BaseRepresentation
bin100110110101…
…1011111011000
31102022120002111
41031223133120
520203110344
62004242104
7335041000
oct115533730
942276074
1020363224
1110549212
1269a0334
1342ac85b
1429c1000
151bc3834
hex136b7d8

20363224 has 64 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 8467200.

The previous prime is 20363197. The next prime is 20363251. The reversal of 20363224 is 42236302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20363197) and next prime (20363251).

It is a junction number, because it is equal to n+sod(n) for n = 20363195 and 20363204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112414 + ... + 112594.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 220363224 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 20363224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

20363224 is an abundant number, since it is smaller than the sum of its proper divisors (25500776).

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

20363224 is a wasteful number, since it uses less digits than its factorization.

20363224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 20363224 is about 4512.5629081488. The cubic root of 20363224 is about 273.0751491561.

Adding to 20363224 its reverse (42236302), we get a palindrome (62599526).

The spelling of 20363224 in words is "twenty million, three hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 181 196 287 328 343 362 392 574 686 724 1148 1267 1372 1448 2009 2296 2534 2744 4018 5068 7421 8036 8869 10136 14063 14842 16072 17738 28126 29684 35476 51947 56252 59368 62083 70952 103894 112504 124166 207788 248332 363629 415576 496664 727258 1454516 2545403 2909032 5090806 10181612 20363224