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215005000 = 235476143
BaseRepresentation
bin11001101000010…
…11011101001000
3112222120101102011
430310023131020
5420020130000
633200145304
75220340510
oct1464133510
9488511364
10215005000
11100401491
1260008234
133570bcc2
14207aa840
1513d202ba
hexcd0b748

215005000 has 80 divisors (see below), whose sum is σ = 575815680. Its totient is φ = 73704000.

The previous prime is 215004961. The next prime is 215005003. The reversal of 215005000 is 500512.

It is not an unprimeable number, because it can be changed into a prime (215005003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31929 + ... + 38071.

It is an arithmetic number, because the mean of its divisors is an integer number (7197696).

Almost surely, 2215005000 is an apocalyptic number.

215005000 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 215005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287907840).

215005000 is an abundant number, since it is smaller than the sum of its proper divisors (360810680).

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

215005000 is an equidigital number, since it uses as much as digits as its factorization.

215005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 215005000 is about 14663.0487962088. The cubic root of 215005000 is about 599.0772854275.

Adding to 215005000 its reverse (500512), we get a palindrome (215505512).

The spelling of 215005000 in words is "two hundred fifteen million, five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3500 4375 5000 6143 7000 8750 12286 17500 24572 30715 35000 43001 49144 61430 86002 122860 153575 172004 215005 245720 307150 344008 430010 614300 767875 860020 1075025 1228600 1535750 1720040 2150050 3071500 3839375 4300100 5375125 6143000 7678750 8600200 10750250 15357500 21500500 26875625 30715000 43001000 53751250 107502500 215005000