Search a number
-
+
128225226000 = 2435343496997
BaseRepresentation
bin111011101101011010…
…0011010110100010000
3110020222020101101101110
41313122310122310100
54100101124213000
6134523355333320
712156353303064
oct1673264326420
9406866341343
10128225226000
114a41a885163
1220a26451240
13c1262a77c1
1462c58bbaa4
15350713e850
hex1ddad1ad10

128225226000 has 160 divisors (see below), whose sum is σ = 423012889728. Its totient is φ = 33398131200.

The previous prime is 128225225923. The next prime is 128225226037. The reversal of 128225226000 is 622522821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9502 + ... + 506498.

Almost surely, 2128225226000 is an apocalyptic number.

128225226000 is a gapful number since it is divisible by the number (10) 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 128225226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211506444864).

128225226000 is an abundant number, since it is smaller than the sum of its proper divisors (294787663728).

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

128225226000 is a wasteful number, since it uses less digits than its factorization.

128225226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497066 (or 497050 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 128225226000 its reverse (622522821), we get a palindrome (128847748821).

The spelling of 128225226000 in words is "one hundred twenty-eight billion, two hundred twenty-five million, two hundred twenty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8600 10320 10750 12900 16125 17200 21500 25800 32250 43000 51600 64500 86000 129000 258000 496997 993994 1490991 1987988 2484985 2981982 3975976 4969970 5963964 7454955 7951952 9939940 11927928 12424925 14909910 19879880 21370871 23855856 24849850 29819820 37274775 39759760 42741742 49699700 59639640 62124625 64112613 74549550 85483484 99399400 106854355 119279280 124249250 128225226 149099100 170966968 186373875 198798800 213708710 248498500 256450452 298198200 320563065 341933936 372747750 427417420 496997000 512900904 534271775 596396400 641126130 745495500 854834840 993994000 1025801808 1068543550 1282252260 1490991000 1602815325 1709669680 2137087100 2564504520 2671358875 2981982000 3205630650 4274174200 5129009040 5342717750 6411261300 8014076625 8548348400 10685435500 12822522600 16028153250 21370871000 25645045200 32056306500 42741742000 64112613000 128225226000