Search a number
-
+
1922749920 = 253357136773
BaseRepresentation
bin111001010011010…
…1101010111100000
311221222222211001000
41302212231113200
512414210444140
6514443112000
765435050620
oct16246552740
94858884030
101922749920
118a7384523
12457b12600
1324846a860
1414350a880
15b3c03a30
hex729ad5e0

1922749920 has 768 divisors, whose sum is σ = 8521390080. Its totient is φ = 394149888.

The previous prime is 1922749891. The next prime is 1922749943. The reversal of 1922749920 is 299472291.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26339004 + ... + 26339076.

It is an arithmetic number, because the mean of its divisors is an integer number (11095560).

Almost surely, 21922749920 is an apocalyptic number.

1922749920 is a gapful number since it is divisible by the number (10) 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 1922749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260695040).

1922749920 is an abundant number, since it is smaller than the sum of its proper divisors (6598640160).

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

1922749920 is a wasteful number, since it uses less digits than its factorization.

1922749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1922749920 is about 43849.1723981194. The cubic root of 1922749920 is about 1243.4860971525.

The spelling of 1922749920 in words is "one billion, nine hundred twenty-two million, seven hundred forty-nine thousand, nine hundred twenty".