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244000244224 = 2911217922003
BaseRepresentation
bin1110001100111110001…
…1000100001000000000
3212022210210111200110101
43203033203010020000
512444203030303344
6304031524012144
723425360566262
oct3431743041000
9768723450411
10244000244224
119453085aa00
123b357231054
131a01707a349
14bb49a67b32
15653122d9d4
hex38cf8c4200

244000244224 has 120 divisors (see below), whose sum is σ = 538891602480. Its totient is φ = 110284584960.

The previous prime is 244000244209. The next prime is 244000244281. The reversal of 244000244224 is 422442000442.

It is a super-2 number, since 2×2440002442242 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 244000244192 and 244000244201.

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, 11078407 + ... + 11100409.

It is an arithmetic number, because the mean of its divisors is an integer number (4490763354).

Almost surely, 2244000244224 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 244000244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269445801240).

244000244224 is an abundant number, since it is smaller than the sum of its proper divisors (294891358256).

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

244000244224 is a wasteful number, since it uses less digits than its factorization.

244000244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22222 (or 22195 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 244000244224 its reverse (422442000442), we get a palindrome (666442244666).

The spelling of 244000244224 in words is "two hundred forty-four billion, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 179 242 256 352 358 484 512 704 716 968 1408 1432 1936 1969 2816 2864 3872 3938 5632 5728 7744 7876 11456 15488 15752 21659 22003 22912 30976 31504 43318 44006 45824 61952 63008 86636 88012 91648 126016 173272 176024 242033 252032 346544 352048 484066 504064 693088 704096 968132 1008128 1386176 1408192 1936264 2662363 2772352 2816384 3872528 3938537 5324726 5544704 5632768 7745056 7877074 10649452 11089408 11265536 15490112 15754148 21298904 30980224 31508296 42597808 43323907 61960448 63016592 85195616 86647814 123920896 126033184 170391232 173295628 252066368 340782464 346591256 476562977 504132736 681564928 693182512 953125954 1008265472 1363129856 1386365024 1906251908 2016530944 2772730048 3812503816 5545460096 7625007632 11090920192 15250015264 22181840384 30500030528 61000061056 122000122112 244000244224