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1320254226 = 232318272861
BaseRepresentation
bin100111010110001…
…0111101100010010
310102000021212022200
41032230113230102
510200441113401
6335001344030
744500655454
oct11654275422
93360255280
101320254226
116182815a5
1230a198016
131806aa025
14c74b42d4
157ad91686
hex4eb17b12

1320254226 has 48 divisors (see below), whose sum is σ = 2957430528. Its totient is φ = 425224800.

The previous prime is 1320254207. The next prime is 1320254231. The reversal of 1320254226 is 6224520231.

It is a happy number.

1320254226 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1320254226.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 460036 + ... + 462896.

It is an arithmetic number, because the mean of its divisors is an integer number (61613136).

Almost surely, 21320254226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320254226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478715264).

1320254226 is an abundant number, since it is smaller than the sum of its proper divisors (1637176302).

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

1320254226 is a wasteful number, since it uses less digits than its factorization.

1320254226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1320254226 is about 36335.3027509060. The cubic root of 1320254226 is about 1097.0317292200.

Adding to 1320254226 its reverse (6224520231), we get a palindrome (7544774457).

The spelling of 1320254226 in words is "one billion, three hundred twenty million, two hundred fifty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 827 1654 2481 2861 4962 5722 7443 8583 14886 17166 25637 25749 51274 51498 76911 88691 153822 177382 230733 266073 461466 532146 798219 1596438 2366047 4732094 7098141 14196282 21294423 42588846 73347457 146694914 220042371 440084742 660127113 1320254226