Search a number
-
+
1226005668 = 223234055713
BaseRepresentation
bin100100100010011…
…0101110010100100
310011102221112121100
41021010311302210
510002324140133
6321353320100
742244606356
oct11104656244
93142845540
101226005668
1157a059228
122a2706030
13166ccb354
14b8b7d0d6
1572975e13
hex49135ca4

1226005668 has 18 divisors (see below), whose sum is σ = 3099069974. Its totient is φ = 408668544.

The previous prime is 1226005667. The next prime is 1226005687. The reversal of 1226005668 is 8665006221.

It can be written as a sum of positive squares in only one way, i.e., 1052872704 + 173132964 = 32448^2 + 13158^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 34055713 = 1226005668 / (1 + 2 + 2 + 6 + 0 + 0 + 5 + 6 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (1226005667) 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 5 ways as a sum of consecutive naturals, for example, 17027821 + ... + 17027892.

Almost surely, 21226005668 is an apocalyptic number.

1226005668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1226005668 is an abundant number, since it is smaller than the sum of its proper divisors (1873064306).

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

1226005668 is a wasteful number, since it uses less digits than its factorization.

1226005668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34055723 (or 34055718 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1226005668 is about 35014.3637383289. The cubic root of 1226005668 is about 1070.2802037871.

The spelling of 1226005668 in words is "one billion, two hundred twenty-six million, five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 34055713 68111426 102167139 136222852 204334278 306501417 408668556 613002834 1226005668