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2212079040 = 263253720759
BaseRepresentation
bin1000001111011001…
…1010010111000000
312201011102020222100
42003312122113000
514012243012130
61003300310400
7105550235013
oct20366322700
95634366870
102212079040
11a3572a7a6
125189a2400
132933a0612
1416db0337a
15ce305c60
hex83d9a5c0

2212079040 has 168 divisors, whose sum is σ = 7814645280. Its totient is φ = 573917184.

The previous prime is 2212079039. The next prime is 2212079041. The reversal of 2212079040 is 409702122.

It is an interprime number because it is at equal distance from previous prime (2212079039) and next prime (2212079041).

It is a junction number, because it is equal to n+sod(n) for n = 2212078995 and 2212079013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212079041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96181 + ... + 116939.

Almost surely, 22212079040 is an apocalyptic number.

2212079040 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 2212079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907322640).

2212079040 is an abundant number, since it is smaller than the sum of its proper divisors (5602566240).

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

2212079040 is a wasteful number, since it uses less digits than its factorization.

2212079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20819 (or 20806 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2212079040 is about 47032.7443383862. The cubic root of 2212079040 is about 1302.9673910794.

The spelling of 2212079040 in words is "two billion, two hundred twelve million, seventy-nine thousand, forty".