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222400826481 = 31011171962633
BaseRepresentation
bin1100111100100000011…
…1110100110001110001
3210021001111101120112110
43033020013310301301
512120434102421411
6250100341315533
722032204556011
oct3171007646161
9707044346473
10222400826481
1186357517739
1237129705ba9
1317c842119a2
14aa9b19dc41
155bb9d7b2a6
hex33c81f4c71

222400826481 has 16 divisors (see below), whose sum is σ = 299500755840. Its totient is φ = 146784355200.

The previous prime is 222400826471. The next prime is 222400826509. The reversal of 222400826481 is 184628004222.

222400826481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222400826481 - 27 = 222400826353 is a prime.

It is a super-3 number, since 3×2224008264813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (222400826471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3519541 + ... + 3582173.

It is an arithmetic number, because the mean of its divisors is an integer number (18718797240).

Almost surely, 2222400826481 is an apocalyptic number.

It is an amenable number.

222400826481 is a deficient number, since it is larger than the sum of its proper divisors (77099929359).

222400826481 is a wasteful number, since it uses less digits than its factorization.

222400826481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74456.

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 222400826481 in words is "two hundred twenty-two billion, four hundred million, eight hundred twenty-six thousand, four hundred eighty-one".

Divisors: 1 3 101 303 11719 35157 62633 187899 1183619 3550857 6325933 18977799 733996127 2201988381 74133608827 222400826481