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1228807008 = 2532111329837
BaseRepresentation
bin100100100111110…
…0001101101100000
310011122012212022200
41021033201231200
510004033311013
6321533333200
742310454502
oct11117415540
93148185280
101228807008
115806a1990
122a3637200
1316776c450
14b92abd72
1572d2ae73
hex493e1b60

1228807008 has 144 divisors (see below), whose sum is σ = 4105470096. Its totient is φ = 343710720.

The previous prime is 1228806991. The next prime is 1228807049. The reversal of 1228807008 is 8007088221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26266 + ... + 56102.

It is an arithmetic number, because the mean of its divisors is an integer number (28510209).

Almost surely, 21228807008 is an apocalyptic number.

1228807008 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 1228807008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052735048).

1228807008 is an abundant number, since it is smaller than the sum of its proper divisors (2876663088).

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

1228807008 is a wasteful number, since it uses less digits than its factorization.

1228807008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29877 (or 29866 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1228807008 is about 35054.3436395549. The cubic root of 1228807008 is about 1071.0947563195.

The spelling of 1228807008 in words is "one billion, two hundred twenty-eight million, eight hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 29837 41184 59674 89511 119348 179022 238696 268533 328207 358044 387881 477392 537066 656414 716088 775762 954784 984621 1074132 1163643 1312828 1432176 1551524 1969242 2148264 2327286 2625656 2864352 2953863 3103048 3490929 3938484 4266691 4296528 4654572 5251312 5907726 6206096 6981858 7876968 8533382 8593056 9309144 10502624 11815452 12412192 12800073 13963716 15753936 17066764 18618288 23630904 25600146 27927432 31507872 34133528 37236576 38400219 47261808 51200292 55854864 68267056 76800438 94523616 102400584 111709728 136534112 153600876 204801168 307201752 409602336 614403504 1228807008