Base | Representation |
---|---|
bin | 10001100001100… |
… | …11101010000000 |
3 | 101020121222212012 |
4 | 20300303222000 |
5 | 300113342344 |
6 | 22330552052 |
7 | 3433404032 |
oct | 1060635200 |
9 | 336558765 |
10 | 147012224 |
11 | 75a91507 |
12 | 41298628 |
13 | 245c3ca8 |
14 | 1574bc52 |
15 | cd8e29e |
hex | 8c33a80 |
147012224 has 64 divisors (see below), whose sum is σ = 303949800. Its totient is φ = 70778880.
The previous prime is 147012221. The next prime is 147012233. The reversal of 147012224 is 422210741.
It can be written as a sum of positive squares in 4 ways, for example, as 138485824 + 8526400 = 11768^2 + 2920^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1470122242 = 43225188010852352, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 147012224.
It is not an unprimeable number, because it can be changed into a prime (147012221) 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, 571904 + ... + 572160.
Almost surely, 2147012224 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 147012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151974900).
147012224 is an abundant number, since it is smaller than the sum of its proper divisors (156937576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
147012224 is a wasteful number, since it uses less digits than its factorization.
147012224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 421 (or 409 counting only the distinct ones).
The product of its (nonzero) digits is 896, while the sum is 23.
The square root of 147012224 is about 12124.8597517662. The cubic root of 147012224 is about 527.7778373588. Note that the first 3 decimals are identical.
Adding to 147012224 its reverse (422210741), we get a palindrome (569222965).
The spelling of 147012224 in words is "one hundred forty-seven million, twelve thousand, two hundred twenty-four".
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