Search a number
-
+
210325505225440 = 25511199600518231
BaseRepresentation
bin101111110100101000111001…
…000001101011001011100000
31000120200220220002101000222011
4233310220321001223023200
5210031433113314203230
62023154111521122304
762205342042515353
oct5764507101531340
91016626802330864
10210325505225440
116101a600585a80
121b70a5aa189394
1390487c1343b77
1439d1b4739429a
15194b0b08aee2a
hexbf4a3906b2e0

210325505225440 has 96 divisors (see below), whose sum is σ = 544790140070400. Its totient is φ = 76097670105600.

The previous prime is 210325505225417. The next prime is 210325505225443. The reversal of 210325505225440 is 44522505523012.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 210325505225393 and 210325505225402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210325505225443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299908876 + ... + 300609355.

It is an arithmetic number, because the mean of its divisors is an integer number (5674897292400).

Almost surely, 2210325505225440 is an apocalyptic number.

210325505225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210325505225440 is an abundant number, since it is smaller than the sum of its proper divisors (334464634844960).

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

210325505225440 is a wasteful number, since it uses less digits than its factorization.

210325505225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600518456 (or 600518448 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 210325505225440 in words is "two hundred ten trillion, three hundred twenty-five billion, five hundred five million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 199 220 352 398 440 796 880 995 1592 1760 1990 2189 3184 3980 4378 6368 7960 8756 10945 15920 17512 21890 31840 35024 43780 70048 87560 175120 350240 600518231 1201036462 2402072924 3002591155 4804145848 6005182310 6605700541 9608291696 12010364620 13211401082 19216583392 24020729240 26422802164 33028502705 48041458480 52845604328 66057005410 96082916960 105691208656 119503127969 132114010820 211382417312 239006255938 264228021640 478012511876 528456043280 597515639845 956025023752 1056912086560 1195031279690 1314534407659 1912050047504 2390062559380 2629068815318 3824100095008 4780125118760 5258137630636 6572672038295 9560250237520 10516275261272 13145344076590 19120500475040 21032550522544 26290688153180 42065101045088 52581376306360 105162752612720 210325505225440