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213248208 = 24333713183
BaseRepresentation
bin11001011010111…
…10100011010000
3112212021010112210
430231132203100
5414042420313
633054352120
75166402615
oct1455364320
9485233483
10213248208
11aa411598
125b4bb640
1335245494
142047050c
1513ac49c3
hexcb5e8d0

213248208 has 40 divisors (see below), whose sum is σ = 552567808. Its totient is φ = 70866432.

The previous prime is 213248207. The next prime is 213248261. The reversal of 213248208 is 802842312.

213248208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132482082 = 90949596430422528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213248207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9585 + ... + 22767.

Almost surely, 2213248208 is an apocalyptic number.

It is an amenable number.

213248208 is an abundant number, since it is smaller than the sum of its proper divisors (339319600).

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

213248208 is a wasteful number, since it uses less digits than its factorization.

213248208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13525 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 213248208 is about 14603.0205094700. The cubic root of 213248208 is about 597.4411470776.

The spelling of 213248208 in words is "two hundred thirteen million, two hundred forty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 337 674 1011 1348 2022 2696 4044 5392 8088 13183 16176 26366 39549 52732 79098 105464 158196 210928 316392 632784 4442671 8885342 13328013 17770684 26656026 35541368 53312052 71082736 106624104 213248208