Search a number
-
+
2242036020 = 2235710351827
BaseRepresentation
bin1000010110100010…
…1100000100110100
312210020210020020010
42011220230010310
514042430123040
61010250340220
7106362664110
oct20550540464
95706706203
102242036020
11a50630934
12526a2a670
1329965bb43
14173aa0740
15d1c71e80
hex85a2c134

2242036020 has 96 divisors (see below), whose sum is σ = 7244310528. Its totient is φ = 507480192.

The previous prime is 2242036019. The next prime is 2242036057. The reversal of 2242036020 is 206302422.

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

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, 17347 + ... + 69173.

It is an arithmetic number, because the mean of its divisors is an integer number (75461568).

Almost surely, 22242036020 is an apocalyptic number.

2242036020 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 2242036020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622155264).

2242036020 is an abundant number, since it is smaller than the sum of its proper divisors (5002274508).

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

2242036020 is a wasteful number, since it uses less digits than its factorization.

2242036020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51949 (or 51947 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2242036020 is about 47350.1427664162. The cubic root of 2242036020 is about 1308.8228300051.

Adding to 2242036020 its reverse (206302422), we get a palindrome (2448338442).

The spelling of 2242036020 in words is "two billion, two hundred forty-two million, thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2884 3090 3605 4326 6180 7210 8652 10815 14420 21630 43260 51827 103654 155481 207308 259135 310962 362789 518270 621924 725578 777405 1036540 1088367 1451156 1554810 1813945 2176734 3109620 3627890 4353468 5338181 5441835 7255780 10676362 10883670 16014543 21352724 21767340 26690905 32029086 37367267 53381810 64058172 74734534 80072715 106763620 112101801 149469068 160145430 186836335 224203602 320290860 373672670 448407204 560509005 747345340 1121018010 2242036020