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122250227449 = 7219922512
BaseRepresentation
bin111000111011010101…
…1100110111011111001
3102200112211101000020211
41301312223212323321
54000332024234244
6132054434351121
711555321534200
oct1616653467371
9380484330224
10122250227449
1147934080329
121b83942b4a1
13b6b34537bc
145cba13a237
1532a77e4934
hex1c76ae6ef9

122250227449 has 27 divisors (see below), whose sum is σ = 143499361221. Its totient is φ = 103843971000.

The previous prime is 122250227447. The next prime is 122250227461. The reversal of 122250227449 is 944722052221.

It is a happy number.

The square root of 122250227449 is 349643.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 122250227449 - 21 = 122250227447 is a prime.

It is a super-2 number, since 2×1222502274492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122250227441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 487052574 + ... + 487052824.

Almost surely, 2122250227449 is an apocalyptic number.

122250227449 is the 349643-rd square number.

122250227449 is the 174822-nd centered octagonal number.

It is an amenable number.

122250227449 is a deficient number, since it is larger than the sum of its proper divisors (21249133772).

122250227449 is an frugal number, since it uses more digits than its factorization.

122250227449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 122250227449 in words is "one hundred twenty-two billion, two hundred fifty million, two hundred twenty-seven thousand, four hundred forty-nine".

Divisors: 1 7 49 199 251 1393 1757 9751 12299 39601 49949 63001 277207 349643 441007 1940449 2447501 3087049 9939851 12537199 69578957 87760393 487052699 614322751 2494902601 17464318207 122250227449