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44226213200 = 24521310977753
BaseRepresentation
bin101001001100000101…
…100111010101010000
311020011012102102010022
4221030011213111100
51211033402310300
632152305123012
73123652416041
oct511405472520
9136135372108
1044226213200
11178355a9624
1286a3329468
13422a808730
1421d79a88c8
15123ca43285
hexa4c167550

44226213200 has 120 divisors (see below), whose sum is σ = 114545902968. Its totient is φ = 16312688640.

The previous prime is 44226213193. The next prime is 44226213203. The reversal of 44226213200 is 231262244.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9530445376 + 34695767824 = 97624^2 + 186268^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 44226213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44226213203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5700524 + ... + 5708276.

Almost surely, 244226213200 is an apocalyptic number.

44226213200 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 44226213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57272951484).

44226213200 is an abundant number, since it is smaller than the sum of its proper divisors (70319689768).

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

44226213200 is a wasteful number, since it uses less digits than its factorization.

44226213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8881 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 44226213200 its reverse (231262244), we get a palindrome (44457475444).

The spelling of 44226213200 in words is "forty-four billion, two hundred twenty-six million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1097 1300 2194 2600 4388 5200 5485 7753 8776 10970 14261 15506 17552 21940 27425 28522 31012 38765 43880 54850 57044 62024 71305 77530 87760 100789 109700 114088 124048 142610 155060 193825 201578 219400 228176 285220 310120 356525 387650 403156 438800 503945 570440 620240 713050 775300 806312 1007890 1140880 1426100 1550600 1612624 2015780 2519725 2852200 3101200 4031560 5039450 5704400 8063120 8505041 10078900 17010082 20157800 34020164 40315600 42525205 68040328 85050410 110565533 136080656 170100820 212626025 221131066 340201640 425252050 442262132 552827665 680403280 850504100 884524264 1105655330 1701008200 1769048528 2211310660 2764138325 3402016400 4422621320 5528276650 8845242640 11056553300 22113106600 44226213200