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2822111040 = 263571923312
BaseRepresentation
bin1010100000110101…
…1111111101000000
321021200022002120010
42220031133331000
521234430023130
61144011344520
7126635355660
oct25015377500
97250262503
102822111040
11121900a881
12669152140
1335c89c4b8
141cab3c1a0
15117b560b0
hexa835ff40

2822111040 has 672 divisors, whose sum is σ = 11622389760. Its totient is φ = 565678080.

The previous prime is 2822111029. The next prime is 2822111051. The reversal of 2822111040 is 401112282.

2822111040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2822111029) and next prime (2822111051).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2822110998 and 2822111016.

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, 91035825 + ... + 91035855.

Almost surely, 22822111040 is an apocalyptic number.

2822111040 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 2822111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811194880).

2822111040 is an abundant number, since it is smaller than the sum of its proper divisors (8800278720).

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

2822111040 is a wasteful number, since it uses less digits than its factorization.

2822111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2822111040 is about 53123.5450624297. The cubic root of 2822111040 is about 1413.1600970374.

The spelling of 2822111040 in words is "two billion, eight hundred twenty-two million, one hundred eleven thousand, forty".