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1226666406 = 237233134057
BaseRepresentation
bin100100100011101…
…0111000110100110
310011111012002222010
41021013113012212
510003011311111
6321415415050
742253330620
oct11107270646
93144162863
101226666406
1157a46a699
122a2984486
131671a0014
14b8cb1c10
1572a56aa6
hex491d71a6

1226666406 has 64 divisors (see below), whose sum is σ = 2935784448. Its totient is φ = 334084608.

The previous prime is 1226666393. The next prime is 1226666407. The reversal of 1226666406 is 6046666221.

It is a super-3 number, since 3×12266664063 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226666407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300330 + ... + 304386.

It is an arithmetic number, because the mean of its divisors is an integer number (45871632).

Almost surely, 21226666406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226666406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467892224).

1226666406 is an abundant number, since it is smaller than the sum of its proper divisors (1709118042).

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

1226666406 is a wasteful number, since it uses less digits than its factorization.

1226666406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 1226666406 is about 35023.7977095574. The cubic root of 1226666406 is about 1070.4724399290.

The spelling of 1226666406 in words is "one billion, two hundred twenty-six million, six hundred sixty-six thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 313 322 483 626 939 966 1878 2191 4057 4382 6573 7199 8114 12171 13146 14398 21597 24342 28399 43194 50393 56798 85197 93311 100786 151179 170394 186622 279933 302358 559866 653177 1269841 1306354 1959531 2539682 3809523 3919062 7619046 8888887 17777774 26666661 29206343 53333322 58412686 87619029 175238058 204444401 408888802 613333203 1226666406