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44226400 = 255259937
BaseRepresentation
bin1010100010110…
…1011101100000
310002012221012211
42220231131200
542310221100
64215531504
71044626641
oct250553540
9102187184
1044226400
1122a67a49
1212989b94
13921648a
145c336c8
153d391ba
hex2a2d760

44226400 has 72 divisors (see below), whose sum is σ = 109914840. Its totient is φ = 17372160.

The previous prime is 44226383. The next prime is 44226407. The reversal of 44226400 is 462244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44226407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46732 + ... + 47668.

It is an arithmetic number, because the mean of its divisors is an integer number (1526595).

Almost surely, 244226400 is an apocalyptic number.

44226400 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 44226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54957420).

44226400 is an abundant number, since it is smaller than the sum of its proper divisors (65688440).

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

44226400 is a wasteful number, since it uses less digits than its factorization.

44226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 44226400 is about 6650.2932266179. The cubic root of 44226400 is about 353.6393061825.

Adding to 44226400 its reverse (462244), we get a palindrome (44688644).

The spelling of 44226400 in words is "forty-four million, two hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 295 400 472 590 800 937 944 1180 1475 1874 1888 2360 2950 3748 4685 4720 5900 7496 9370 9440 11800 14992 18740 23425 23600 29984 37480 46850 47200 55283 74960 93700 110566 149920 187400 221132 276415 374800 442264 552830 749600 884528 1105660 1382075 1769056 2211320 2764150 4422640 5528300 8845280 11056600 22113200 44226400