Search a number
-
+
2319379020 = 223257171941139
BaseRepresentation
bin1000101000111110…
…1110101001001100
312222122022122212200
42022033232221030
514222230112040
61022052201500
7111322252650
oct21217565114
95878278780
102319379020
11a90257872
12548909290
132ac69ba2a
14180074a60
15d894d630
hex8a3eea4c

2319379020 has 576 divisors, whose sum is σ = 9246182400. Its totient is φ = 457850880.

The previous prime is 2319379019. The next prime is 2319379079. The reversal of 2319379020 is 209739132.

2319379020 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16686111 + ... + 16686249.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 22319379020 is an apocalyptic number.

2319379020 is a gapful number since it is divisible by the number (20) 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 2319379020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2319379020 is an abundant number, since it is smaller than the sum of its proper divisors (6926803380).

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

2319379020 is a wasteful number, since it uses less digits than its factorization.

2319379020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2319379020 is about 48159.9316859981. The cubic root of 2319379020 is about 1323.7030660652.

The spelling of 2319379020 in words is "two billion, three hundred nineteen million, three hundred seventy-nine thousand, twenty".