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1228151241 = 3419297433
BaseRepresentation
bin100100100110100…
…0001100111001001
310011120222112210000
41021031001213021
510003401314431
6321511313213
742302053602
oct11115014711
93146875700
101228151241
11580294229
122a337b809
1316759cb15
14b917ada9
1572c4b9e6
hex493419c9

1228151241 has 60 divisors (see below), whose sum is σ = 1960767732. Its totient is φ = 765904896.

The previous prime is 1228151227. The next prime is 1228151293. The reversal of 1228151241 is 1421518221.

It can be written as a sum of positive squares in 2 ways, for example, as 322382025 + 905769216 = 17955^2 + 30096^2 .

It is not a de Polignac number, because 1228151241 - 25 = 1228151209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228151641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2836161 + ... + 2836593.

Almost surely, 21228151241 is an apocalyptic number.

It is an amenable number.

1228151241 is a deficient number, since it is larger than the sum of its proper divisors (732616491).

1228151241 is an equidigital number, since it uses as much as digits as its factorization.

1228151241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1228151241 is about 35044.9888143797. The cubic root of 1228151241 is about 1070.9041884019.

Adding to 1228151241 its reverse (1421518221), we get a palindrome (2649669462).

The spelling of 1228151241 in words is "one billion, two hundred twenty-eight million, one hundred fifty-one thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 81 97 171 291 361 433 513 873 1083 1299 1539 1843 2619 3249 3897 5529 7857 8227 9747 11691 16587 24681 29241 35017 35073 42001 49761 74043 105051 126003 149283 156313 222129 315153 378009 468939 666387 798019 945459 1134027 1406817 2394057 2836377 3402081 4220451 7182171 12661353 15162361 21546513 45487083 64639539 136461249 409383747 1228151241