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444227238 = 2327213174353
BaseRepresentation
bin11010011110100…
…101111010100110
31010221220002012200
4122132211322212
51402210232423
6112025155330
714002604100
oct3236457246
91127802180
10444227238
11208833554
1210492bb46
1371058270
1442dd8570
1528eecd43
hex1a7a5ea6

444227238 has 288 divisors, whose sum is σ = 1331025696. Its totient is φ = 105670656.

The previous prime is 444227237. The next prime is 444227243. The reversal of 444227238 is 832722444.

It is a super-2 number, since 2×4442272382 = 394675677962217288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444227237) 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 143 ways as a sum of consecutive naturals, for example, 8381620 + ... + 8381672.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617).

Almost surely, 2444227238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444227238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665512848).

444227238 is an abundant number, since it is smaller than the sum of its proper divisors (886798458).

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

444227238 is a wasteful number, since it uses less digits than its factorization.

444227238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 444227238 is about 21076.6989350799. The cubic root of 444227238 is about 763.0184884558.

The spelling of 444227238 in words is "four hundred forty-four million, two hundred twenty-seven thousand, two hundred thirty-eight".