Base | Representation |
---|---|
bin | 1111101110100010… |
… | …1011110111010000 |
3 | 101220012221221122200 |
4 | 3323220223313100 |
5 | 32121231343030 |
6 | 1534530403200 |
7 | 206422153146 |
oct | 37350536720 |
9 | 11805857580 |
10 | 4221746640 |
11 | 187707a811 |
12 | 999a30500 |
13 | 523851147 |
14 | 2c0997596 |
15 | 19a977d60 |
hex | fba2bdd0 |
4221746640 has 120 divisors (see below), whose sum is σ = 14263337088. Its totient is φ = 1119025920.
The previous prime is 4221746587. The next prime is 4221746647. The reversal of 4221746640 is 466471224.
4221746640 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 7 + 4 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4221746595 and 4221746604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4221746647) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102685 + ... + 137795.
Almost surely, 24221746640 is an apocalyptic number.
4221746640 is a gapful number since it is divisible by the number (40) 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 4221746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131668544).
4221746640 is an abundant number, since it is smaller than the sum of its proper divisors (10041590448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4221746640 is a wasteful number, since it uses less digits than its factorization.
4221746640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35297 (or 35288 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 4221746640 is about 64974.9693343521. The cubic root of 4221746640 is about 1616.2085086149.
The spelling of 4221746640 in words is "four billion, two hundred twenty-one million, seven hundred forty-six thousand, six hundred forty".
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