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381225816 = 2332172931063
BaseRepresentation
bin10110101110010…
…000101101011000
3222120100021111200
4112232100231120
51240043211231
6101454554200
712306236346
oct2656205530
9876307450
10381225816
11186212664
12a7808960
1360c9a10a
14388b8996
1523705be6
hex16b90b58

381225816 has 96 divisors (see below), whose sum is σ = 1097984160. Its totient is φ = 119079936.

The previous prime is 381225809. The next prime is 381225827. The reversal of 381225816 is 618522183.

It is a happy number.

381225816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 358101 + ... + 359163.

It is an arithmetic number, because the mean of its divisors is an integer number (11437335).

Almost surely, 2381225816 is an apocalyptic number.

381225816 is a gapful number since it is divisible by the number (36) 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 381225816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548992080).

381225816 is an abundant number, since it is smaller than the sum of its proper divisors (716758344).

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

381225816 is a wasteful number, since it uses less digits than its factorization.

381225816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1378 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 381225816 is about 19525.0048911646. The cubic root of 381225816 is about 725.0936484657.

Adding to 381225816 its reverse (618522183), we get a palindrome (999747999).

The spelling of 381225816 in words is "three hundred eighty-one million, two hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 293 306 408 586 612 879 1063 1172 1224 1758 2126 2344 2637 3189 3516 4252 4981 5274 6378 7032 8504 9567 9962 10548 12756 14943 18071 19134 19924 21096 25512 29886 36142 38268 39848 44829 54213 59772 72284 76536 89658 108426 119544 144568 162639 179316 216852 311459 325278 358632 433704 622918 650556 934377 1245836 1301112 1868754 2491672 2803131 3737508 5294803 5606262 7475016 10589606 11212524 15884409 21179212 22425048 31768818 42358424 47653227 63537636 95306454 127075272 190612908 381225816