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244400424200 = 235223157338411
BaseRepresentation
bin1110001110011101100…
…1101000010100001000
3212100211200111221011222
43203213121220110020
513001013002033300
6304135341141212
723441320220612
oct3434731502410
9770750457158
10244400424200
1194716739059
123b44925a808
131a07bc5282a
14bb86c77db2
15655642a785
hex38e7668508

244400424200 has 96 divisors (see below), whose sum is σ = 596715111360. Its totient is φ = 92913849600.

The previous prime is 244400424133. The next prime is 244400424251. The reversal of 244400424200 is 2424004442.

It is a self number, because there is not a number n which added to its sum of digits gives 244400424200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552995 + ... + 891405.

It is an arithmetic number, because the mean of its divisors is an integer number (6215782410).

Almost surely, 2244400424200 is an apocalyptic number.

244400424200 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 244400424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298357555680).

244400424200 is an abundant number, since it is smaller than the sum of its proper divisors (352314687160).

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

244400424200 is a wasteful number, since it uses less digits than its factorization.

244400424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338607 (or 338598 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 244400424200 its reverse (2424004442), we get a palindrome (246824428642).

The spelling of 244400424200 in words is "two hundred forty-four billion, four hundred million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 157 184 200 230 314 460 575 628 785 920 1150 1256 1570 2300 3140 3611 3925 4600 6280 7222 7850 14444 15700 18055 28888 31400 36110 72220 90275 144440 180550 338411 361100 676822 722200 1353644 1692055 2707288 3384110 6768220 7783453 8460275 13536440 15566906 16920550 31133812 33841100 38917265 53130527 62267624 67682200 77834530 106261054 155669060 194586325 212522108 265652635 311338120 389172650 425044216 531305270 778345300 1062610540 1222002121 1328263175 1556690600 2125221080 2444004242 2656526350 4888008484 5313052700 6110010605 9776016968 10626105400 12220021210 24440042420 30550053025 48880084840 61100106050 122200212100 244400424200