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1226804768 = 25721941179
BaseRepresentation
bin100100100011111…
…1000111000100000
310011111110010202122
41021013320320200
510003030223033
6321422403412
742254445200
oct11107707040
93144403678
101226804768
1157a554642
122a2a30568
1316721aca7
14b8d0a400
1572a82a98
hex491f8e20

1226804768 has 72 divisors (see below), whose sum is σ = 2957547600. Its totient is φ = 498089088.

The previous prime is 1226804767. The next prime is 1226804807. The reversal of 1226804768 is 8674086221.

It is not an unprimeable number, because it can be changed into a prime (1226804767) 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 11 ways as a sum of consecutive naturals, for example, 9203 + ... + 50381.

It is an arithmetic number, because the mean of its divisors is an integer number (41077050).

Almost surely, 21226804768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226804768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478773800).

1226804768 is an abundant number, since it is smaller than the sum of its proper divisors (1730742832).

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

1226804768 is a wasteful number, since it uses less digits than its factorization.

1226804768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41222 (or 41207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 1226804768 is about 35025.7729108153. The cubic root of 1226804768 is about 1070.5126864428.

The spelling of 1226804768 in words is "one billion, two hundred twenty-six million, eight hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 14896 29792 41179 82358 164716 288253 329432 576506 658864 782401 1153012 1317728 1564802 2017771 2306024 3129604 4035542 4612048 5476807 6259208 8071084 9224096 10953614 12518416 16142168 21907228 25036832 32284336 38337649 43814456 64568672 76675298 87628912 153350596 175257824 306701192 613402384 1226804768