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1226330361 = 3612972
BaseRepresentation
bin100100100011000…
…0101000011111001
310011110120001000000
41021012011003321
510002420032421
6321404303213
742250431114
oct11106050371
93143501000
101226330361
1157a260173
122a2841b09
131670b3089
14b8c2557b
15729dc226
hex491850f9

1226330361 has 21 divisors (see below), whose sum is σ = 1840073151. Its totient is φ = 816923232.

The previous prime is 1226330359. The next prime is 1226330363. The reversal of 1226330361 is 1630336221.

It is a happy number.

The square root of 1226330361 is 35019.

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

1226330361 is a `hidden beast` number, since 1 + 22 + 633 + 0 + 3 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1226330359) and next prime (1226330363).

It can be written as a sum of positive squares in only one way, i.e., 1222551225 + 3779136 = 34965^2 + 1944^2 .

It is not a de Polignac number, because 1226330361 - 21 = 1226330359 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 not an unprimeable number, because it can be changed into a prime (1226330363) 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 20 ways as a sum of consecutive naturals, for example, 944865 + ... + 946161.

It is an arithmetic number, because the mean of its divisors is an integer number (87622531).

Almost surely, 21226330361 is an apocalyptic number.

1226330361 is the 35019-th square number.

1226330361 is the 17510-th centered octagonal number.

It is an amenable number.

1226330361 is a deficient number, since it is larger than the sum of its proper divisors (613742790).

1226330361 is an frugal number, since it uses more digits than its factorization.

1226330361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The cubic root of 1226330361 is about 1070.3746791025.

Adding to 1226330361 its reverse (1630336221), we get a palindrome (2856666582).

It can be divided in two parts, 12263 and 30361, that added together give a palindrome (42624).

The spelling of 1226330361 in words is "one billion, two hundred twenty-six million, three hundred thirty thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 1297 3891 11673 35019 105057 315171 945513 1682209 5046627 15139881 45419643 136258929 408776787 1226330361