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4222789824 = 2631119472239
BaseRepresentation
bin1111101110110010…
…1010100011000000
3101220021220221122010
43323230222203000
532122013233244
61535005012520
7206434056411
oct37354524300
911807827563
104222789824
111877722550
1299a254140
13523b27c06
142c0b89808
1519aad1eb9
hexfbb2a8c0

4222789824 has 224 divisors, whose sum is σ = 13108838400. Its totient is φ = 1185960960.

The previous prime is 4222789801. The next prime is 4222789841. The reversal of 4222789824 is 4289872224.

4222789824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1884897 + ... + 1887135.

It is an arithmetic number, because the mean of its divisors is an integer number (58521600).

Almost surely, 24222789824 is an apocalyptic number.

4222789824 is a gapful number since it is divisible by the number (44) 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 4222789824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554419200).

4222789824 is an abundant number, since it is smaller than the sum of its proper divisors (8886048576).

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

4222789824 is a wasteful number, since it uses less digits than its factorization.

4222789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2321 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 4222789824 is about 64982.9964221411. The cubic root of 4222789824 is about 1616.3416181349.

The spelling of 4222789824 in words is "four billion, two hundred twenty-two million, seven hundred eighty-nine thousand, eight hundred twenty-four".