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2240104144 = 2417311491783
BaseRepresentation
bin1000010110000101…
…0100011011010000
312210010011002012011
42011201110123100
514041431313034
61010141112304
7106340366605
oct20541243320
95703132164
102240104144
11a4a531443
12526258694
13299133715
1417371a6ac
15d19de864
hex858546d0

2240104144 has 80 divisors (see below), whose sum is σ = 4778265600. Its totient is φ = 1012746240.

The previous prime is 2240104133. The next prime is 2240104147. The reversal of 2240104144 is 4414010422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240104147) 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, 1255477 + ... + 1257259.

It is an arithmetic number, because the mean of its divisors is an integer number (59728320).

Almost surely, 22240104144 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 2240104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389132800).

2240104144 is an abundant number, since it is smaller than the sum of its proper divisors (2538161456).

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

2240104144 is a wasteful number, since it uses less digits than its factorization.

2240104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2240104144 is about 47329.7384738179. The cubic root of 2240104144 is about 1308.4468012570.

Adding to 2240104144 its reverse (4414010422), we get a palindrome (6654114566).

The spelling of 2240104144 in words is "two billion, two hundred forty million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 149 248 272 298 496 527 596 1054 1192 1783 2108 2384 2533 3566 4216 4619 5066 7132 8432 9238 10132 14264 18476 20264 28528 30311 36952 40528 55273 60622 73904 78523 110546 121244 157046 221092 242488 265667 314092 442184 484976 531334 628184 884368 939641 1062668 1256368 1879282 2125336 3758564 4250672 4516339 7517128 8235677 9032678 15034256 16471354 18065356 32942708 36130712 65885416 72261424 131770832 140006509 280013018 560026036 1120052072 2240104144