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207147468 = 223111679397
BaseRepresentation
bin11000101100011…
…01000111001100
3112102210011220110
430112031013030
5411012204333
632315520020
75063503323
oct1426150714
9472704813
10207147468
11a6a24a60
1259459010
1333bba688
141d7230ba
15132bc063
hexc58d1cc

207147468 has 48 divisors (see below), whose sum is σ = 530498304. Its totient is φ = 62389440.

The previous prime is 207147463. The next prime is 207147517. The reversal of 207147468 is 864741702.

It is a super-2 number, since 2×2071474682 = 85820146997622048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (207147461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17346 + ... + 26742.

It is an arithmetic number, because the mean of its divisors is an integer number (11052048).

Almost surely, 2207147468 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 207147468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265249152).

207147468 is an abundant number, since it is smaller than the sum of its proper divisors (323350836).

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

207147468 is a wasteful number, since it uses less digits than its factorization.

207147468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9582 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 207147468 is about 14392.6185247855. The cubic root of 207147468 is about 591.6886107403.

It can be divided in two parts, 20714 and 7468, that added together give a palindrome (28182).

The spelling of 207147468 in words is "two hundred seven million, one hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 334 501 668 1002 1837 2004 3674 5511 7348 9397 11022 18794 22044 28191 37588 56382 103367 112764 206734 310101 413468 620202 1240404 1569299 3138598 4707897 6277196 9415794 17262289 18831588 34524578 51786867 69049156 103573734 207147468