Base | Representation |
---|---|
bin | 110001100110010… |
… | …0000110100110000 |
3 | 11021222112100220200 |
4 | 1203030200310300 |
5 | 11402020141220 |
6 | 433050035200 |
7 | 56145450435 |
oct | 14314406460 |
9 | 4258470820 |
10 | 1664224560 |
11 | 7844585a9 |
12 | 3a5418b00 |
13 | 206a3187b |
14 | 11b051b8c |
15 | 9b188890 |
hex | 63320d30 |
1664224560 has 120 divisors (see below), whose sum is σ = 5643534624. Its totient is φ = 439464960.
The previous prime is 1664224543. The next prime is 1664224561. The reversal of 1664224560 is 654224661.
1664224560 is a `hidden beast` number, since 1 + 6 + 642 + 2 + 4 + 5 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×16642245602 = 5539286772214387200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1664224561) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62940 + ... + 85380.
Almost surely, 21664224560 is an apocalyptic number.
1664224560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1664224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821767312).
1664224560 is an abundant number, since it is smaller than the sum of its proper divisors (3979310064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1664224560 is a wasteful number, since it uses less digits than its factorization.
1664224560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22563 (or 22554 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 1664224560 is about 40794.9085058418. The cubic root of 1664224560 is about 1185.0517309041.
The spelling of 1664224560 in words is "one billion, six hundred sixty-four million, two hundred twenty-four thousand, five hundred sixty".
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