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224577657561413 = 131723106634143497
BaseRepresentation
bin110011000100000010001111…
…100000001110000101000101
31002110011102012002101211202002
4303010002033200032011011
5213413440020313431123
62113345315051555045
765206125465526622
oct6304021740160505
91073142162354662
10224577657561413
1165614938a69772
12212307a315ba85
13984077523a280
143d6588c025349
151ae6ba852b528
hexcc408f80e145

224577657561413 has 32 divisors (see below), whose sum is σ = 267238516640256. Its totient is φ = 186607679182848.

The previous prime is 224577657561409. The next prime is 224577657561431. The reversal of 224577657561413 is 314165756775422.

It is not a de Polignac number, because 224577657561413 - 22 = 224577657561409 is a prime.

It is a super-2 number, since 2×2245776575614132 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 224577657561413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224577657561463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52128281 + ... + 56271777.

It is an arithmetic number, because the mean of its divisors is an integer number (8351203645008).

Almost surely, 2224577657561413 is an apocalyptic number.

224577657561413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

224577657561413 is a deficient number, since it is larger than the sum of its proper divisors (42660859078843).

224577657561413 is a wasteful number, since it uses less digits than its factorization.

224577657561413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154213.

The product of its digits is 296352000, while the sum is 65.

The spelling of 224577657561413 in words is "two hundred twenty-four trillion, five hundred seventy-seven billion, six hundred fifty-seven million, five hundred sixty-one thousand, four hundred thirteen".

Divisors: 1 13 17 23 221 299 391 5083 10663 138619 181271 245249 2356523 3188237 4143497 4169233 53865461 54200029 70439449 95300431 915712837 1238905603 1620107327 21061395251 44182108511 574367410643 751095844687 1016188495753 9764245980931 13210450444789 17275204427801 224577657561413