Search a number
-
+
2225113440 = 253511421423
BaseRepresentation
bin1000010010100000…
…1000100101100000
312202001221110210220
42010220020211200
514024112112230
61004443523040
7106066103124
oct20450104540
95661843726
102225113440
11a42022730
12521229480
13295cb5394
14171737584
15d052cd10
hex84a08960

2225113440 has 96 divisors (see below), whose sum is σ = 7646317056. Its totient is φ = 539420160.

The previous prime is 2225113439. The next prime is 2225113441. The reversal of 2225113440 is 443115222.

It is an interprime number because it is at equal distance from previous prime (2225113439) and next prime (2225113441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22251134402 = 9902259641737267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2225113440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225113441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205432 + ... + 215991.

It is an arithmetic number, because the mean of its divisors is an integer number (79649136).

Almost surely, 22225113440 is an apocalyptic number.

2225113440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225113440 is an abundant number, since it is smaller than the sum of its proper divisors (5421203616).

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

2225113440 is a wasteful number, since it uses less digits than its factorization.

2225113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421452 (or 421444 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2225113440 is about 47171.1081065518. The cubic root of 2225113440 is about 1305.5215718760.

Adding to 2225113440 its reverse (443115222), we get a palindrome (2668228662).

The spelling of 2225113440 in words is "two billion, two hundred twenty-five million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 421423 842846 1264269 1685692 2107115 2528538 3371384 4214230 4635653 5057076 6321345 6742768 8428460 9271306 10114152 12642690 13485536 13906959 16856920 18542612 20228304 23178265 25285380 27813918 33713840 37085224 40456608 46356530 50570760 55627836 67427680 69534795 74170448 92713060 101141520 111255672 139069590 148340896 185426120 202283040 222511344 278139180 370852240 445022688 556278360 741704480 1112556720 2225113440