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20281212 = 22337139193
BaseRepresentation
bin100110101011…
…1011101111100
31102011101121000
41031113131330
520142444322
62002410300
7334246620
oct115273574
942141530
1020281212
11104a2636
126960990
134281423
14299d180
151ba93ac
hex135777c

20281212 has 96 divisors (see below), whose sum is σ = 60838400. Its totient is φ = 5723136.

The previous prime is 20281211. The next prime is 20281229. The reversal of 20281212 is 21218202.

It is a happy number.

It is a super-2 number, since 2×202812122 = 822655120377888, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20281211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104988 + ... + 105180.

Almost surely, 220281212 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 20281212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30419200).

20281212 is an abundant number, since it is smaller than the sum of its proper divisors (40557188).

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

20281212 is a wasteful number, since it uses less digits than its factorization.

20281212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20281212 is about 4503.4666646929. The cubic root of 20281212 is about 272.7080564642.

Adding to 20281212 its reverse (21218202), we get a palindrome (41499414).

It can be divided in two parts, 2028 and 1212, that added together give a triangular number (3240 = T80).

The spelling of 20281212 in words is "twenty million, two hundred eighty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 193 252 278 378 386 417 556 579 756 772 834 973 1158 1251 1351 1668 1737 1946 2316 2502 2702 2919 3474 3753 3892 4053 5004 5211 5404 5838 6948 7506 8106 8757 10422 11676 12159 15012 16212 17514 20844 24318 26271 26827 35028 36477 48636 52542 53654 72954 80481 105084 107308 145908 160962 187789 241443 321924 375578 482886 563367 724329 751156 965772 1126734 1448658 1690101 2253468 2897316 3380202 5070303 6760404 10140606 20281212