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244422020400 = 24352203685017
BaseRepresentation
bin1110001110100010110…
…0000000110100110000
3212100220012011010121020
43203220230000310300
513001034014123100
6304141432055440
723442001615365
oct3435054006460
9770805133536
10244422020400
1194727949658
123b454534580
131a08357464c
14bb89a9a46c
1565582945a0
hex38e8b00d30

244422020400 has 60 divisors (see below), whose sum is σ = 782965209192. Its totient is φ = 65179205120.

The previous prime is 244422020363. The next prime is 244422020429. The reversal of 244422020400 is 4020224442.

244422020400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101841309 + ... + 101843708.

Almost surely, 2244422020400 is an apocalyptic number.

244422020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244422020400 is an abundant number, since it is smaller than the sum of its proper divisors (538543188792).

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

244422020400 is a wasteful number, since it uses less digits than its factorization.

244422020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203685038 (or 203685027 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 244422020400 its reverse (4020224442), we get a palindrome (248442244842).

The spelling of 244422020400 in words is "two hundred forty-four billion, four hundred twenty-two million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 203685017 407370034 611055051 814740068 1018425085 1222110102 1629480136 2036850170 2444220204 3055275255 3258960272 4073700340 4888440408 5092125425 6110550510 8147400680 9776880816 10184250850 12221101020 15276376275 16294801360 20368501700 24442202040 30552752550 40737003400 48884404080 61105505100 81474006800 122211010200 244422020400