Search a number
-
+
2244243214240 = 25517825089417
BaseRepresentation
bin100000101010000111010…
…100011100111110100000
321221112210011112200121221
4200222013110130332200
5243232202230323430
64434554024424424
7321066303366616
oct40520724347640
97845704480557
102244243214240
11795861872755
12302b48618114
13133828a62351
147a89c8c36b6
153d5a070257a
hex20a8751cfa0

2244243214240 has 48 divisors (see below), whose sum is σ = 5613908400072. Its totient is φ = 844891561984.

The previous prime is 2244243214237. The next prime is 2244243214273. The reversal of 2244243214240 is 424123424422.

It can be written as a sum of positive squares in 4 ways, for example, as 1517991556624 + 726251657616 = 1232068^2 + 852204^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2244243214196 and 2244243214205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412541989 + ... + 412547428.

Almost surely, 22244243214240 is an apocalyptic number.

2244243214240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244243214240 is an abundant number, since it is smaller than the sum of its proper divisors (3369665185832).

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

2244243214240 is a wasteful number, since it uses less digits than its factorization.

2244243214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825089449 (or 825089441 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 2244243214240 its reverse (424123424422), we get a palindrome (2668366638662).

The spelling of 2244243214240 in words is "two trillion, two hundred forty-four billion, two hundred forty-three million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 825089417 1650178834 3300357668 4125447085 6600715336 8250894170 13201430672 14026520089 16501788340 26402861344 28053040178 33003576680 56106080356 66007153360 70132600445 112212160712 132014306720 140265200890 224424321424 280530401780 448848642848 561060803560 1122121607120 2244243214240