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2250571023440 = 245292620937013
BaseRepresentation
bin100000110000000000011…
…111001000010001010000
321222011010011102200222122
4200300000133020101100
5243333132140222230
64441521551353412
7321412151030135
oct40600037102120
97864104380878
102250571023440
11798509741433
12304213822868
131342c6a1494c
147acdd06458c
153d820eddbe5
hex20c007c8450

2250571023440 has 80 divisors (see below), whose sum is σ = 5413364125200. Its totient is φ = 869129404416.

The previous prime is 2250571023221. The next prime is 2250571023461. The reversal of 2250571023440 is 443201750522.

It can be written as a sum of positive squares in 8 ways, for example, as 34117045264 + 2216453978176 = 184708^2 + 1488776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22505710234403 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2250571023440.

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, 60786374 + ... + 60823386.

It is an arithmetic number, because the mean of its divisors is an integer number (67667051565).

Almost surely, 22250571023440 is an apocalyptic number.

2250571023440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250571023440 is an abundant number, since it is smaller than the sum of its proper divisors (3162793101760).

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

2250571023440 is a wasteful number, since it uses less digits than its factorization.

2250571023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63264 (or 63258 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

Adding to 2250571023440 its reverse (443201750522), we get a palindrome (2693772773962).

The spelling of 2250571023440 in words is "two trillion, two hundred fifty billion, five hundred seventy-one million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 26209 37013 52418 74026 104836 131045 148052 185065 209672 262090 296104 370130 419344 524180 592208 740260 760061 1048360 1073377 1480520 1520122 2096720 2146754 2961040 3040244 3800305 4293508 5366885 6080488 7600610 8587016 10733770 12160976 15201220 17174032 21467540 30402440 42935080 60804880 85870160 970073717 1940147434 3880294868 4850368585 7760589736 9700737170 15521179472 19401474340 28132137793 38802948680 56264275586 77605897360 112528551172 140660688965 225057102344 281321377930 450114204688 562642755860 1125285511720 2250571023440