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20264244 = 223721113241
BaseRepresentation
bin100110101001…
…1010100110100
31102010112022120
41031103110310
520141423434
62002155540
7334146300
oct115232464
942115276
1020264244
1110490910
126952bb0
1342767a0
142996d00
151ba4349
hex1353534

20264244 has 144 divisors (see below), whose sum is σ = 64886976. Its totient is φ = 4838400.

The previous prime is 20264227. The next prime is 20264249. The reversal of 20264244 is 44246202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83964 + ... + 84204.

It is an arithmetic number, because the mean of its divisors is an integer number (450604).

Almost surely, 220264244 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 20264244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32443488).

20264244 is an abundant number, since it is smaller than the sum of its proper divisors (44622732).

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

20264244 is a wasteful number, since it uses less digits than its factorization.

20264244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 20264244 is about 4501.5823884496. The cubic root of 20264244 is about 272.6319827503.

It can be divided in two parts, 202 and 64244, that added together give a palindrome (64446).

The spelling of 20264244 in words is "twenty million, two hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 241 273 286 294 308 364 429 462 482 539 546 572 588 637 723 858 924 964 1001 1078 1092 1274 1446 1617 1687 1716 1911 2002 2156 2548 2651 2892 3003 3133 3234 3374 3822 4004 5061 5302 6006 6266 6468 6748 7007 7644 7953 9399 10122 10604 11809 12012 12532 14014 15906 18557 18798 20244 21021 21931 23618 28028 31812 34463 35427 37114 37596 42042 43862 47236 55671 65793 68926 70854 74228 84084 87724 103389 111342 129899 131586 137852 141708 153517 206778 222684 241241 259798 263172 307034 389697 413556 460551 482482 519596 614068 723723 779394 921102 964964 1447446 1558788 1688687 1842204 2894892 3377374 5066061 6754748 10132122 20264244