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217148052 = 223112149551
BaseRepresentation
bin11001111000101…
…10101010010100
3120010121021010110
430330112222110
5421042214202
633314123020
75244504462
oct1474265224
9503537113
10217148052
11101635600
1260880470
1335cac594
1420ba7832
15140e526c
hexcf16a94

217148052 has 36 divisors (see below), whose sum is σ = 556931648. Its totient is φ = 65802000.

The previous prime is 217148051. The next prime is 217148059. The reversal of 217148052 is 250841712.

217148052 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 not an unprimeable number, because it can be changed into a prime (217148051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73324 + ... + 76227.

Almost surely, 2217148052 is an apocalyptic number.

217148052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

217148052 is an abundant number, since it is smaller than the sum of its proper divisors (339783596).

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

217148052 is a wasteful number, since it uses less digits than its factorization.

217148052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149580 (or 149567 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 217148052 is about 14735.9442181355. The cubic root of 217148052 is about 601.0611333315.

Adding to 217148052 its reverse (250841712), we get a palindrome (467989764).

The spelling of 217148052 in words is "two hundred seventeen million, one hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 149551 299102 448653 598204 897306 1645061 1794612 3290122 4935183 6580244 9870366 18095671 19740732 36191342 54287013 72382684 108574026 217148052