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44472228100 = 22521074798677
BaseRepresentation
bin101001011010110000…
…000101100100000100
311020210100100021010021
4221122300011210010
51212034342244400
632232534104524
73133030462456
oct513260054404
9136710307107
1044472228100
1117951460223
1287517ab144
134269784291
14221c5282d6
15125443b71a
hexa5ac05904

44472228100 has 72 divisors (see below), whose sum is σ = 97621251840. Its totient is φ = 17583822720.

The previous prime is 44472228083. The next prime is 44472228121. The reversal of 44472228100 is 182227444.

It is a super-2 number, since 2×444722281002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5120962 + ... + 5129638.

It is an arithmetic number, because the mean of its divisors is an integer number (1355850720).

Almost surely, 244472228100 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 44472228100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810625920).

44472228100 is an abundant number, since it is smaller than the sum of its proper divisors (53149023740).

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

44472228100 is a wasteful number, since it uses less digits than its factorization.

44472228100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9277 (or 9270 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 34.

The spelling of 44472228100 in words is "forty-four billion, four hundred seventy-two million, two hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 428 479 535 958 1070 1916 2140 2395 2675 4790 5350 8677 9580 10700 11975 17354 23950 34708 43385 47900 51253 86770 102506 173540 205012 216925 256265 433850 512530 867700 928439 1025060 1281325 1856878 2562650 3713756 4156283 4642195 5125300 8312566 9284390 16625132 18568780 20781415 23210975 41562830 46421950 83125660 92843900 103907075 207814150 415628300 444722281 889444562 1778889124 2223611405 4447222810 8894445620 11118057025 22236114050 44472228100