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381022000 = 2453593229
BaseRepresentation
bin10110101101011…
…110111100110000
3222112221220220221
4112231132330300
51240020201000
6101450342424
712304430212
oct2655367460
9875856827
10381022000
11186093517
12a772aa14
1360c28408
14388645b2
15236b561a
hex16b5ef30

381022000 has 80 divisors (see below), whose sum is σ = 937216800. Its totient is φ = 149779200.

The previous prime is 381021989. The next prime is 381022001. The reversal of 381022000 is 220183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (381022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116386 + ... + 119614.

It is an arithmetic number, because the mean of its divisors is an integer number (11715210).

Almost surely, 2381022000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468608400).

381022000 is an abundant number, since it is smaller than the sum of its proper divisors (556194800).

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

381022000 is a wasteful number, since it uses less digits than its factorization.

381022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 381022000 is about 19519.7848348797. The cubic root of 381022000 is about 724.9644057040.

Adding to 381022000 its reverse (220183), we get a palindrome (381242183).

The spelling of 381022000 in words is "three hundred eighty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 3229 4720 5900 6458 7375 11800 12916 14750 16145 23600 25832 29500 32290 51664 59000 64580 80725 118000 129160 161450 190511 258320 322900 381022 403625 645800 762044 807250 952555 1291600 1524088 1614500 1905110 3048176 3229000 3810220 4762775 6458000 7620440 9525550 15240880 19051100 23813875 38102200 47627750 76204400 95255500 190511000 381022000