Search a number
-
+
20224020 = 22352959197
BaseRepresentation
bin100110100100…
…1100000010100
31102001111010210
41031021200110
520134132040
62001245420
7333621105
oct115114024
942044123
1020224020
1110463673
126933870
13426139b
1429863ac
151b97480
hex1349814

20224020 has 96 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 5092864.

The previous prime is 20224013. The next prime is 20224031. The reversal of 20224020 is 2042202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20223987 and 20224005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102562 + ... + 102758.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 220224020 is an apocalyptic number.

20224020 is a gapful number since it is divisible by the number (20) 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 20224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

20224020 is an abundant number, since it is smaller than the sum of its proper divisors (39651180).

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

20224020 is a wasteful number, since it uses less digits than its factorization.

20224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20224020 is about 4497.1124068673. The cubic root of 20224020 is about 272.4514741188.

Adding to 20224020 its reverse (2042202), we get a palindrome (22266222).

The spelling of 20224020 in words is "twenty million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 197 236 290 295 348 354 394 435 580 590 591 708 788 870 885 985 1180 1182 1711 1740 1770 1970 2364 2955 3422 3540 3940 5133 5713 5910 6844 8555 10266 11426 11623 11820 17110 17139 20532 22852 23246 25665 28565 34220 34278 34869 46492 51330 57130 58115 68556 69738 85695 102660 114260 116230 139476 171390 174345 232460 337067 342780 348690 674134 697380 1011201 1348268 1685335 2022402 3370670 4044804 5056005 6741340 10112010 20224020