Search a number
-
+
4522722840 = 23325172291499
BaseRepresentation
bin1000011011001001…
…10100011000011000
3102200012022010101100
410031210310120120
533230304112330
62024441351400
7220035336606
oct41544643030
912605263340
104522722840
111a10a60679
12a62798560
1357100137c
1430c942876
151b70cb060
hex10d934618

4522722840 has 288 divisors, whose sum is σ = 16163550000. Its totient is φ = 1095241728.

The previous prime is 4522722797. The next prime is 4522722851. The reversal of 4522722840 is 482272254.

4522722840 is a `hidden beast` number, since 4 + 522 + 72 + 28 + 40 = 666.

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 = 4522722795 and 4522722804.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3016411 + ... + 3017909.

Almost surely, 24522722840 is an apocalyptic number.

4522722840 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 4522722840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081775000).

4522722840 is an abundant number, since it is smaller than the sum of its proper divisors (11640827160).

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

4522722840 is a wasteful number, since it uses less digits than its factorization.

4522722840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4522722840 is about 67251.1921083931. The cubic root of 4522722840 is about 1653.7378181719.

The spelling of 4522722840 in words is "four billion, five hundred twenty-two million, seven hundred twenty-two thousand, eight hundred forty".