Search a number
-
+
213470208 = 2103371103
BaseRepresentation
bin11001011100101…
…00110000000000
3112212200102002000
430232110300000
5414122021313
633103224000
75201316060
oct1456246000
9485612060
10213470208
11aa553366
125b5a8000
13352c2543
14204cb3a0
1513b1a673
hexcb94c00

213470208 has 176 divisors, whose sum is σ = 723164160. Its totient is φ = 60936192.

The previous prime is 213470203. The next prime is 213470219. The reversal of 213470208 is 802074312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (213470203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192985 + ... + 194087.

Almost surely, 2213470208 is an apocalyptic number.

213470208 is a gapful number since it is divisible by the number (28) 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 213470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361582080).

213470208 is an abundant number, since it is smaller than the sum of its proper divisors (509693952).

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

213470208 is a wasteful number, since it uses less digits than its factorization.

213470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213470208 is about 14610.6196993830. The cubic root of 213470208 is about 597.6483953001.

The spelling of 213470208 in words is "two hundred thirteen million, four hundred seventy thousand, two hundred eight".