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44225120 = 255475881
BaseRepresentation
bin1010100010110…
…1001001100000
310002012212110102
42220231021200
542310200440
64215521532
71044623132
oct250551140
9102185412
1044225120
1122a66a95
12129892a8
139215a14
145c33052
153d38b15
hex2a2d260

44225120 has 48 divisors (see below), whose sum is σ = 106723008. Its totient is φ = 17310720.

The previous prime is 44225117. The next prime is 44225147. The reversal of 44225120 is 2152244.

It is a happy number.

It is a super-2 number, since 2×442251202 = 3911722478028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44225092 and 44225101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4580 + ... + 10460.

It is an arithmetic number, because the mean of its divisors is an integer number (2223396).

Almost surely, 244225120 is an apocalyptic number.

44225120 is a gapful number since it is divisible by the number (40) 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 44225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53361504).

44225120 is an abundant number, since it is smaller than the sum of its proper divisors (62497888).

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

44225120 is a wasteful number, since it uses less digits than its factorization.

44225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 44225120 is about 6650.1969895635. The cubic root of 44225120 is about 353.6358944746.

Adding to 44225120 its reverse (2152244), we get a palindrome (46377364).

The spelling of 44225120 in words is "forty-four million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 5881 7520 11762 23524 29405 47048 58810 94096 117620 188192 235240 276407 470480 552814 940960 1105628 1382035 2211256 2764070 4422512 5528140 8845024 11056280 22112560 44225120