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1226635668 = 2232196432789
BaseRepresentation
bin100100100011100…
…1111100110010100
310011111010112210200
41021013033212110
510003004320133
6321415020500
742253142166
oct11107174624
93144115720
101226635668
1157a449595
122a296a730
1316718c02b
14b8ca4936
1572a4c913
hex491cf994

1226635668 has 72 divisors (see below), whose sum is σ = 3270103200. Its totient is φ = 386617536.

The previous prime is 1226635667. The next prime is 1226635691. The reversal of 1226635668 is 8665366221.

1226635668 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 635 + 6 + 6 + 8 = 666.

Its product of digits (622080) is a multiple of the sum of its prime divisors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226635667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438418 + ... + 441206.

It is an arithmetic number, because the mean of its divisors is an integer number (45418100).

Almost surely, 21226635668 is an apocalyptic number.

1226635668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226635668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635051600).

1226635668 is an abundant number, since it is smaller than the sum of its proper divisors (2043467532).

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

1226635668 is a wasteful number, since it uses less digits than its factorization.

1226635668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3456 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1226635668 is about 35023.3588908888. The cubic root of 1226635668 is about 1070.4634984987.

The spelling of 1226635668 in words is "one billion, two hundred twenty-six million, six hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 643 684 1286 1929 2572 2789 3858 5578 5787 7716 8367 11156 11574 12217 16734 23148 24434 25101 33468 36651 48868 50202 52991 73302 100404 105982 109953 146604 158973 211964 219906 317946 439812 476919 635892 953838 1793327 1907676 3586654 5379981 7173308 10759962 16139943 21519924 32279886 34073213 64559772 68146426 102219639 136292852 204439278 306658917 408878556 613317834 1226635668