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2230377522441 = 347307106148563
BaseRepresentation
bin100000011101001100110…
…111000010010100001001
321220012222211210120021020
4200131030313002110021
5243020303121204231
64424342110503053
7320065556064315
oct40351467022411
97805884716236
102230377522441
1178a996a69232
12300318b04a89
13132429219ba3
1479d451acb45
153d03d29e396
hex2074cdc2509

2230377522441 has 32 divisors (see below), whose sum is σ = 3049937307648. Its totient is φ = 1449144469440.

The previous prime is 2230377522383. The next prime is 2230377522491. The reversal of 2230377522441 is 1442257730322.

It is a happy number.

It is not a de Polignac number, because 2230377522441 - 27 = 2230377522313 is a prime.

It is a super-2 number, since 2×22303775224412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230377522393 and 2230377522402.

It is not an unprimeable number, because it can be changed into a prime (2230377522491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45903226 + ... + 45951788.

It is an arithmetic number, because the mean of its divisors is an integer number (95310540864).

Almost surely, 22230377522441 is an apocalyptic number.

It is an amenable number.

2230377522441 is a deficient number, since it is larger than the sum of its proper divisors (819559785207).

2230377522441 is a wasteful number, since it uses less digits than its factorization.

2230377522441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49981.

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 2230377522441 in words is "two trillion, two hundred thirty billion, three hundred seventy-seven million, five hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 47 141 307 921 1061 3183 14429 43287 48563 49867 145689 149601 325727 977181 2282461 6847383 14908841 15309169 44726523 45927507 51525343 154576029 700715527 2102146581 2421691121 7265073363 15818280301 47454840903 743459174147 2230377522441