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213349552 = 24131377487
BaseRepresentation
bin11001011011101…
…11010010110000
3112212110021120021
430231313102300
5414104141202
633100453224
75200304233
oct1455672260
9485407507
10213349552
11aa480749
125b54a214
133527c650
142049941a
1513ae4a37
hexcb774b0

213349552 has 40 divisors (see below), whose sum is σ = 448471296. Its totient is φ = 97737216.

The previous prime is 213349529. The next prime is 213349553. The reversal of 213349552 is 255943312.

It is not an unprimeable number, because it can be changed into a prime (213349553) 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, 24753 + ... + 32239.

Almost surely, 2213349552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213349552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224235648).

213349552 is an abundant number, since it is smaller than the sum of its proper divisors (235121744).

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

213349552 is a wasteful number, since it uses less digits than its factorization.

213349552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645 (or 7639 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 213349552 is about 14606.4900643515. The cubic root of 213349552 is about 597.5357746593.

The spelling of 213349552 in words is "two hundred thirteen million, three hundred forty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 137 208 274 548 1096 1781 2192 3562 7124 7487 14248 14974 28496 29948 59896 97331 119792 194662 389324 778648 1025719 1557296 2051438 4102876 8205752 13334347 16411504 26668694 53337388 106674776 213349552