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4022404320 = 2535114571667
BaseRepresentation
bin1110111111000001…
…0000010011100000
3101101022212022101210
43233300100103200
531214213414240
61503050030120
7201451605204
oct35760202340
911338768353
104022404320
1117845a69a0
12943118340
134c14672cc
142a2306b04
151881ed780
hexefc104e0

4022404320 has 192 divisors, whose sum is σ = 13860999936. Its totient is φ = 972410880.

The previous prime is 4022404303. The next prime is 4022404327. The reversal of 4022404320 is 234042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022404327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2412127 + ... + 2413793.

It is an arithmetic number, because the mean of its divisors is an integer number (72192708).

Almost surely, 24022404320 is an apocalyptic number.

4022404320 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 4022404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930499968).

4022404320 is an abundant number, since it is smaller than the sum of its proper divisors (9838595616).

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

4022404320 is a wasteful number, since it uses less digits than its factorization.

4022404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4022404320 is about 63422.4275788936. The cubic root of 4022404320 is about 1590.3592558726.

Adding to 4022404320 its reverse (234042204), we get a palindrome (4256446524).

The spelling of 4022404320 in words is "four billion, twenty-two million, four hundred four thousand, three hundred twenty".