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2811722940 = 22325133183467
BaseRepresentation
bin1010011110010111…
…0111110010111100
321020221202022202200
42213211313302330
521224300113230
61143000551500
7126451151655
oct24745676274
97227668680
102811722940
111213165074
12665782590
1335a6a30b0
141c95d652c
15116ca3160
hexa7977cbc

2811722940 has 288 divisors, whose sum is σ = 9616029696. Its totient is φ = 660303360.

The previous prime is 2811722899. The next prime is 2811722951. The reversal of 2811722940 is 492271182.

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 = 2811722895 and 2811722904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6020587 + ... + 6021053.

It is an arithmetic number, because the mean of its divisors is an integer number (33388992).

Almost surely, 22811722940 is an apocalyptic number.

2811722940 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 2811722940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808014848).

2811722940 is an abundant number, since it is smaller than the sum of its proper divisors (6804306756).

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

2811722940 is a wasteful number, since it uses less digits than its factorization.

2811722940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2811722940 is about 53025.6818909479. The cubic root of 2811722940 is about 1411.4240328662.

The spelling of 2811722940 in words is "two billion, eight hundred eleven million, seven hundred twenty-two thousand, nine hundred forty".