Search a number
-
+
2245240031553 = 327397137257161
BaseRepresentation
bin100000101011000010101…
…111000000100101000001
321221122100122020020220200
4200223002233000211001
5243241222422002203
64435240553555413
7321133066243551
oct40530257004501
97848318206820
102245240031553
11796223512312
12303186415b69
1313395742698c
147a955043161
153d60cea59a3
hex20ac2bc0941

2245240031553 has 48 divisors (see below), whose sum is σ = 3345700250256. Its totient is φ = 1450431774720.

The previous prime is 2245240031543. The next prime is 2245240031569. The reversal of 2245240031553 is 3551300425422.

2245240031553 is a `hidden beast` number, since 2 + 24 + 52 + 4 + 0 + 0 + 31 + 553 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7858290609 + 2237381740944 = 88647^2 + 1495788^2 .

It is not a de Polignac number, because 2245240031553 - 214 = 2245240015169 is a prime.

It is a super-2 number, since 2×22452400315532 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245240031543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8602293 + ... + 8859453.

It is an arithmetic number, because the mean of its divisors is an integer number (69702088547).

Almost surely, 22245240031553 is an apocalyptic number.

It is an amenable number.

2245240031553 is a deficient number, since it is larger than the sum of its proper divisors (1100460218703).

2245240031553 is a wasteful number, since it uses less digits than its factorization.

2245240031553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257474 (or 257471 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2245240031553 its reverse (3551300425422), we get a palindrome (5796540456975).

The spelling of 2245240031553 in words is "two trillion, two hundred forty-five billion, two hundred forty million, thirty-one thousand, five hundred fifty-three".

Divisors: 1 3 9 73 97 137 219 291 411 657 873 1233 7081 10001 13289 21243 30003 39867 63729 90009 119601 257161 771483 970097 2314449 2910291 8730873 18772753 24944617 35231057 56318259 74833851 105693171 168954777 224501553 317079513 1820957041 2571867161 3417412529 5462871123 7715601483 10252237587 16388613369 23146804449 30756712761 249471114617 748413343851 2245240031553