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2225220321400 = 2352431527716937
BaseRepresentation
bin100000011000011001011…
…101111000000001111000
321212201200102121121102021
4200120121131320001320
5242424222400241100
64422130242044224
7316524014435626
oct40303135700170
97781612547367
102225220321400
1178878a95080a
122bb319949674
13131ab693a83b
14799b62aa516
153cd3a644a1a
hex20619778078

2225220321400 has 96 divisors (see below), whose sum is σ = 5294613511440. Its totient is φ = 869280168960.

The previous prime is 2225220321397. The next prime is 2225220321407. The reversal of 2225220321400 is 41230225222.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225220321407) by changing a digit.

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, 131373732 + ... + 131390668.

Almost surely, 22225220321400 is an apocalyptic number.

2225220321400 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 2225220321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647306755720).

2225220321400 is an abundant number, since it is smaller than the sum of its proper divisors (3069393190040).

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

2225220321400 is a wasteful number, since it uses less digits than its factorization.

2225220321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32273 (or 32264 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2225220321400 its reverse (41230225222), we get a palindrome (2266450546622).

The spelling of 2225220321400 in words is "two trillion, two hundred twenty-five billion, two hundred twenty million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 8600 15277 16937 30554 33874 61108 67748 76385 84685 122216 135496 152770 169370 305540 338740 381925 423425 611080 656911 677480 728291 763850 846850 1313822 1456582 1527700 1693700 2627644 2913164 3055400 3284555 3387400 3641455 5255288 5826328 6569110 7282910 13138220 14565820 16422775 18207275 26276440 29131640 32845550 36414550 65691100 72829100 131382200 145658200 258746549 517493098 1034986196 1293732745 2069972392 2587465490 5174930980 6468663725 10349861960 11126101607 12937327450 22252203214 25874654900 44504406428 51749309800 55630508035 89008812856 111261016070 222522032140 278152540175 445044064280 556305080350 1112610160700 2225220321400