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44220384 = 25331331127
BaseRepresentation
bin1010100010101…
…1111111100000
310002012121222000
42220223333200
542310023014
64215444000
71044603255
oct250537740
9102177860
1044220384
1122a6347a
1212986600
139213810
145c3142c
153d37509
hex2a2bfe0

44220384 has 192 divisors, whose sum is σ = 144506880. Its totient is φ = 13063680.

The previous prime is 44220377. The next prime is 44220401. The reversal of 44220384 is 48302244.

It is a happy number.

It is a super-2 number, since 2×442203842 = 3910884722214912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348129 + ... + 348255.

It is an arithmetic number, because the mean of its divisors is an integer number (752640).

Almost surely, 244220384 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 44220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

44220384 is an abundant number, since it is smaller than the sum of its proper divisors (100286496).

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

44220384 is a wasteful number, since it uses less digits than its factorization.

44220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44220384 is about 6649.8409003524. The cubic root of 44220384 is about 353.6232705828.

The spelling of 44220384 in words is "forty-four million, two hundred twenty thousand, three hundred eighty-four".