Search a number
-
+
219700000 = 2555133
BaseRepresentation
bin11010001100001…
…01101100100000
3120022101220202001
431012011230200
5422220400000
633444533344
75305263532
oct1506055440
9508356661
10219700000
11103018953
12616b1254
1336694000
142126d852
151444b46a
hexd185b20

219700000 has 144 divisors (see below), whose sum is σ = 585665640. Its totient is φ = 81120000.

The previous prime is 219699941. The next prime is 219700003. The reversal of 219700000 is 7912.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 214446736 + 5253264 = 14644^2 + 2292^2 .

It is not an unprimeable number, because it can be changed into a prime (219700003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16899994 + ... + 16900006.

Almost surely, 2219700000 is an apocalyptic number.

219700000 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 219700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292832820).

219700000 is an abundant number, since it is smaller than the sum of its proper divisors (365965640).

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

219700000 is an frugal number, since it uses more digits than its factorization.

219700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 219700000 is about 14822.2805262888. The cubic root of 219700000 is about 603.4065483697.

Adding to 219700000 its reverse (7912), we get a palindrome (219707912).

The spelling of 219700000 in words is "two hundred nineteen million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 169 200 208 250 260 325 338 400 416 500 520 625 650 676 800 845 1000 1040 1250 1300 1352 1625 1690 2000 2080 2197 2500 2600 2704 3125 3250 3380 4000 4225 4394 5000 5200 5408 6250 6500 6760 8125 8450 8788 10000 10400 10985 12500 13000 13520 16250 16900 17576 20000 21125 21970 25000 26000 27040 32500 33800 35152 40625 42250 43940 50000 52000 54925 65000 67600 70304 81250 84500 87880 100000 105625 109850 130000 135200 162500 169000 175760 211250 219700 260000 274625 325000 338000 351520 422500 439400 528125 549250 650000 676000 845000 878800 1056250 1098500 1300000 1373125 1690000 1757600 2112500 2197000 2746250 3380000 4225000 4394000 5492500 6865625 8450000 8788000 10985000 13731250 16900000 21970000 27462500 43940000 54925000 109850000 219700000