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2225350024000 = 26532129130657
BaseRepresentation
bin100000011000100001001…
…100101001101101000000
321212202000110200011221021
4200120201030221231000
5242430004101232000
64422151154035224
7316530151050415
oct40304114515500
97782013604837
102225350024000
1178884708a244
122bb355278b14
13131b07780b3c
14799c95d010c
153cd46c1511a
hex20621329b40

2225350024000 has 112 divisors (see below), whose sum is σ = 5513710110480. Its totient is φ = 889715097600.

The previous prime is 2225350023959. The next prime is 2225350024019. The reversal of 2225350024000 is 4200535222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 823853936896 + 1401496087104 = 907664^2 + 1183848^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16966672 + ... + 17097328.

Almost surely, 22225350024000 is an apocalyptic number.

2225350024000 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 2225350024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756855055240).

2225350024000 is an abundant number, since it is smaller than the sum of its proper divisors (3288360086480).

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

2225350024000 is a wasteful number, since it uses less digits than its factorization.

2225350024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132813 (or 132793 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 2225350024000 its reverse (4200535222), we get a palindrome (2229550559222).

The spelling of 2225350024000 in words is "two trillion, two hundred twenty-five billion, three hundred fifty million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2129 4000 4258 8000 8516 10645 17032 21290 34064 42580 53225 68128 85160 106450 130657 136256 170320 212900 261314 266125 340640 425800 522628 532250 653285 681280 851600 1045256 1064500 1306570 1703200 2090512 2129000 2613140 3266425 3406400 4181024 4258000 5226280 6532850 8362048 8516000 10452560 13065700 16332125 17032000 20905120 26131400 32664250 41810240 52262800 65328500 104525600 130657000 209051200 261314000 278168753 522628000 556337506 1045256000 1112675012 1390843765 2225350024 2781687530 4450700048 5563375060 6954218825 8901400096 11126750120 13908437650 17802800192 22253500240 27816875300 34771094125 44507000480 55633750600 69542188250 89014000960 111267501200 139084376500 222535002400 278168753000 445070004800 556337506000 1112675012000 2225350024000