Search a number
-
+
4205022416 = 24725363549
BaseRepresentation
bin1111101010100011…
…1000110011010000
3101212001111021022222
43322220320303100
532102441204131
61533132120212
7206130046400
oct37250706320
911761437288
104205022416
111868697641
12994306068
13520246a5a
142bc682800
1519927287b
hexfaa38cd0

4205022416 has 30 divisors (see below), whose sum is σ = 9477392850. Its totient is φ = 1802152128.

The previous prime is 4205022413. The next prime is 4205022421. The reversal of 4205022416 is 6142205024.

4205022416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4082698816 + 122323600 = 63896^2 + 11060^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205022413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2680991 + ... + 2682558.

It is an arithmetic number, because the mean of its divisors is an integer number (315913095).

Almost surely, 24205022416 is an apocalyptic number.

It is an amenable number.

4205022416 is an abundant number, since it is smaller than the sum of its proper divisors (5272370434).

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

4205022416 is a wasteful number, since it uses less digits than its factorization.

4205022416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363571 (or 5363558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4205022416 is about 64846.1441876076. The cubic root of 4205022416 is about 1614.0715096734.

The spelling of 4205022416 in words is "four billion, two hundred five million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5363549 10727098 21454196 37544843 42908392 75089686 85816784 150179372 262813901 300358744 525627802 600717488 1051255604 2102511208 4205022416