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221544616703142 = 23413697243599641
BaseRepresentation
bin110010010111111001100000…
…001011100011010010100110
31002001102110101020221001120110
4302113321200023203102212
5213014241333334000032
62103104105240113450
764444033062566625
oct6227714013432246
91061373336831513
10221544616703142
11646555a9522157
1220a209b7a65886
13968074c356675
143c9cb60cc36bc
151a92d3d2487cc
hexc97e602e34a6

221544616703142 has 32 divisors (see below), whose sum is σ = 454019063962464. Its totient is φ = 72027541555200.

The previous prime is 221544616703131. The next prime is 221544616703149. The reversal of 221544616703142 is 241307616445122.

It is a super-2 number, since 2×2215446167031422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221544616703091 and 221544616703100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221544616703149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120890359 + ... + 122709282.

It is an arithmetic number, because the mean of its divisors is an integer number (14188095748827).

Almost surely, 2221544616703142 is an apocalyptic number.

221544616703142 is an abundant number, since it is smaller than the sum of its proper divisors (232474447259322).

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

221544616703142 is a wasteful number, since it uses less digits than its factorization.

221544616703142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243603384.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 221544616703142 in words is "two hundred twenty-one trillion, five hundred forty-four billion, six hundred sixteen million, seven hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 41 82 123 246 3697 7394 11091 22182 151577 303154 454731 909462 243599641 487199282 730798923 1461597846 9987585281 19975170562 29962755843 59925511686 900587872777 1801175745554 2701763618331 5403527236662 36924102783857 73848205567714 110772308351571 221544616703142