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213115000 = 235476089
BaseRepresentation
bin11001011001111…
…10000001111000
3112212000100211011
430230332001320
5414024140000
633051443304
75165306350
oct1454760170
9485010734
10213115000
11aa3304aa
125b456534
13351c9967
1420437b60
1513a9a2ba
hexcb3e078

213115000 has 80 divisors (see below), whose sum is σ = 570754800. Its totient is φ = 73056000.

The previous prime is 213114991. The next prime is 213115013. The reversal of 213115000 is 511312.

213115000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31956 + ... + 38044.

It is an arithmetic number, because the mean of its divisors is an integer number (7134435).

Almost surely, 2213115000 is an apocalyptic number.

213115000 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 213115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285377400).

213115000 is an abundant number, since it is smaller than the sum of its proper divisors (357639800).

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

213115000 is an equidigital number, since it uses as much as digits as its factorization.

213115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 213115000 is about 14598.4588227662. The cubic root of 213115000 is about 597.3167216207.

Adding to 213115000 its reverse (511312), we get a palindrome (213626312).

The spelling of 213115000 in words is "two hundred thirteen million, one hundred fifteen 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 6089 7000 8750 12178 17500 24356 30445 35000 42623 48712 60890 85246 121780 152225 170492 213115 243560 304450 340984 426230 608900 761125 852460 1065575 1217800 1522250 1704920 2131150 3044500 3805625 4262300 5327875 6089000 7611250 8524600 10655750 15222500 21311500 26639375 30445000 42623000 53278750 106557500 213115000