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244200420 = 223851861
BaseRepresentation
bin11101000111000…
…11001111100100
3122000111200000000
432203203033210
51000003403140
640122021300
76023445402
oct1643431744
9560450000
10244200420
11115932432
1269947830
133b7919b9
142460a472
151668aa30
hexe8e33e4

244200420 has 108 divisors (see below), whose sum is σ = 769605564. Its totient is φ = 65085120.

The previous prime is 244200419. The next prime is 244200443. The reversal of 244200420 is 24002442.

244200420 is a `hidden beast` number, since 2 + 44 + 200 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 217326564 = 5184^2 + 14742^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244200393 and 244200402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130290 + ... + 132150.

Almost surely, 2244200420 is an apocalyptic number.

244200420 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 244200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384802782).

244200420 is an abundant number, since it is smaller than the sum of its proper divisors (525405144).

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

244200420 is an equidigital number, since it uses as much as digits as its factorization.

244200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 244200420 is about 15626.9133228543. The cubic root of 244200420 is about 625.0510209015.

Adding to 244200420 its reverse (24002442), we get a palindrome (268202862).

The spelling of 244200420 in words is "two hundred forty-four million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 1861 2187 2430 2916 3645 3722 4374 4860 5583 6561 7290 7444 8748 9305 10935 11166 13122 14580 16749 18610 21870 22332 26244 27915 32805 33498 37220 43740 50247 55830 65610 66996 83745 100494 111660 131220 150741 167490 200988 251235 301482 334980 452223 502470 602964 753705 904446 1004940 1356669 1507410 1808892 2261115 2713338 3014820 4070007 4522230 5426676 6783345 8140014 9044460 12210021 13566690 16280028 20350035 24420042 27133380 40700070 48840084 61050105 81400140 122100210 244200420