Search a number
-
+
215235000 = 2332544783
BaseRepresentation
bin11001101010000…
…11100110111000
3120000000001220200
430311003212320
5420100010000
633205122200
75222316201
oct1465034670
9500001820
10215235000
11100549272
12600b9360
133578c8b6
142082a5a8
1513d68500
hexcd439b8

215235000 has 120 divisors (see below), whose sum is σ = 728579280. Its totient is φ = 57384000.

The previous prime is 215234993. The next prime is 215235037. The reversal of 215235000 is 532512.

It is a happy number.

215235000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2152350002 = 92652210450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42609 + ... + 47391.

It is an arithmetic number, because the mean of its divisors is an integer number (6071494).

Almost surely, 2215235000 is an apocalyptic number.

215235000 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 215235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364289640).

215235000 is an abundant number, since it is smaller than the sum of its proper divisors (513344280).

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

215235000 is a wasteful number, since it uses less digits than its factorization.

215235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 215235000 is about 14670.8895435826. The cubic root of 215235000 is about 599.2908287906.

Adding to 215235000 its reverse (532512), we get a palindrome (215767512).

The spelling of 215235000 in words is "two hundred fifteen million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 4783 5000 5625 7500 9000 9566 11250 14349 15000 19132 22500 23915 28698 38264 43047 45000 47830 57396 71745 86094 95660 114792 119575 143490 172188 191320 215235 239150 286980 344376 358725 430470 478300 573960 597875 717450 860940 956600 1076175 1195750 1434900 1721880 1793625 2152350 2391500 2869800 2989375 3587250 4304700 4783000 5380875 5978750 7174500 8609400 8968125 10761750 11957500 14349000 17936250 21523500 23915000 26904375 35872500 43047000 53808750 71745000 107617500 215235000