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44221086 = 2337138999
BaseRepresentation
bin1010100010110…
…0001010011110
310002012122221000
42220230022132
542310033321
64215451130
71044605310
oct250541236
9102178830
1044221086
1122a63a58
1212986aa6
139213c30
145c317b0
153d37826
hex2a2c29e

44221086 has 64 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 11661408.

The previous prime is 44221069. The next prime is 44221087. The reversal of 44221086 is 68012244.

44221086 is a `hidden beast` number, since 442 + 210 + 8 + 6 = 666.

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 (44221087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415 + ... + 9413.

It is an arithmetic number, because the mean of its divisors is an integer number (1890000).

Almost surely, 244221086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44221086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

44221086 is an abundant number, since it is smaller than the sum of its proper divisors (76738914).

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

44221086 is a wasteful number, since it uses less digits than its factorization.

44221086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 44221086 is about 6649.8936833607. The cubic root of 44221086 is about 353.6251418331.

It can be divided in two parts, 442 and 21086, that added together give a triangular number (21528 = T207).

The spelling of 44221086 in words is "forty-four million, two hundred twenty-one thousand, eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 8999 17998 26997 53994 62993 80991 116987 125986 161982 188979 233974 242973 350961 377958 485946 566937 701922 818909 1052883 1133874 1637818 1700811 2105766 2456727 3158649 3401622 4913454 6317298 7370181 14740362 22110543 44221086