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244422400 = 2852181211
BaseRepresentation
bin11101001000110…
…01011100000000
3122000220221111111
432210121130000
51000033004100
640130453104
76025361515
oct1644313400
9560827444
10244422400
11115a74192
1269a34194
133b83ba51
142466730c
15166d16ba
hexe919700

244422400 has 108 divisors (see below), whose sum is σ = 611209144. Its totient is φ = 96768000.

The previous prime is 244422397. The next prime is 244422421. The reversal of 244422400 is 4224442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1158295 + ... + 1158505.

Almost surely, 2244422400 is an apocalyptic number.

244422400 is a gapful number since it is divisible by the number (20) 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 244422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305604572).

244422400 is an abundant number, since it is smaller than the sum of its proper divisors (366786744).

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

244422400 is a wasteful number, since it uses less digits than its factorization.

244422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 244422400 is about 15634.0141998145. The cubic root of 244422400 is about 625.2403555549.

Adding to 244422400 its reverse (4224442), we get a palindrome (248646842).

The spelling of 244422400 in words is "two hundred forty-four million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 181 200 211 256 320 362 400 422 640 724 800 844 905 1055 1280 1448 1600 1688 1810 2110 2896 3200 3376 3620 4220 4525 5275 5792 6400 6752 7240 8440 9050 10550 11584 13504 14480 16880 18100 21100 23168 27008 28960 33760 36200 38191 42200 46336 54016 57920 67520 72400 76382 84400 115840 135040 144800 152764 168800 190955 231680 270080 289600 305528 337600 381910 579200 611056 675200 763820 954775 1158400 1222112 1350400 1527640 1909550 2444224 3055280 3819100 4888448 6110560 7638200 9776896 12221120 15276400 24442240 30552800 48884480 61105600 122211200 244422400