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381822112 = 257343809
BaseRepresentation
bin10110110000100…
…010010010100000
3222121110120110201
4112300202102200
51240221301422
6101515434544
712314302000
oct2660422240
9877416421
10381822112
1118658a671
12a7a55a54
1361148659
14389d2000
15237c2727
hex16c224a0

381822112 has 96 divisors (see below), whose sum is σ = 898128000. Its totient is φ = 159634944.

The previous prime is 381822109. The next prime is 381822113. The reversal of 381822112 is 211228183.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (381822113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471564 + ... + 472372.

It is an arithmetic number, because the mean of its divisors is an integer number (9355500).

Almost surely, 2381822112 is an apocalyptic number.

381822112 is a gapful number since it is divisible by the number (32) 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 381822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

381822112 is an abundant number, since it is smaller than the sum of its proper divisors (516305888).

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

381822112 is an equidigital number, since it uses as much as digits as its factorization.

381822112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 861 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 381822112 is about 19540.2689848426. The cubic root of 381822112 is about 725.4715043090.

The spelling of 381822112 in words is "three hundred eighty-one million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 343 344 392 602 686 688 784 809 1204 1372 1376 1568 1618 2107 2408 2744 3236 4214 4816 5488 5663 6472 8428 9632 10976 11326 12944 14749 16856 22652 25888 29498 33712 34787 39641 45304 58996 67424 69574 79282 90608 117992 139148 158564 181216 235984 243509 277487 278296 317128 471968 487018 554974 556592 634256 974036 1109948 1113184 1268512 1704563 1948072 2219896 3409126 3896144 4439792 6818252 7792288 8879584 11931941 13636504 23863882 27273008 47727764 54546016 95455528 190911056 381822112