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1226000664 = 233375315299
BaseRepresentation
bin100100100010011…
…0100100100011000
310011102221021202000
41021010310210120
510002324010124
6321353241000
742244555650
oct11104644430
93142837660
101226000664
1157a055499
122a2703160
13166cc8ca5
14b8b7b360
15729746c9
hex49134918

1226000664 has 128 divisors (see below), whose sum is σ = 3965760000. Its totient is φ = 343654272.

The previous prime is 1226000663. The next prime is 1226000681. The reversal of 1226000664 is 4660006221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226000663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72487 + ... + 87785.

It is an arithmetic number, because the mean of its divisors is an integer number (30982500).

Almost surely, 21226000664 is an apocalyptic number.

1226000664 is a gapful number since it is divisible by the number (14) 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 1226000664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982880000).

1226000664 is an abundant number, since it is smaller than the sum of its proper divisors (2739759336).

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

1226000664 is a wasteful number, since it uses less digits than its factorization.

1226000664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15374 (or 15364 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1226000664 is about 35014.2922818668. The cubic root of 1226000664 is about 1070.2787476521.

Adding to 1226000664 its reverse (4660006221), we get a palindrome (5886006885).

The spelling of 1226000664 in words is "one billion, two hundred twenty-six million, six hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 15299 20034 26712 30598 40068 45897 61196 80136 91794 107093 122392 137691 183588 214186 275382 321279 367176 413073 428372 550764 642558 810847 826146 856744 963837 1101528 1285116 1621694 1652292 1927674 2432541 2570232 2891511 3243388 3304584 3855348 4865082 5675929 5783022 6486776 7297623 7710696 9730164 11351858 11566044 14595246 17027787 19460328 21892869 22703716 23132088 29190492 34055574 43785738 45407432 51083361 58380984 68111148 87571476 102166722 136222296 153250083 175142952 204333444 306500166 408666888 613000332 1226000664