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2168220600 = 23325272133161
BaseRepresentation
bin1000000100111100…
…0110101110111000
312121002220000111200
42001033012232320
513420031024400
6555052254200
7104505366600
oct20117065670
95532800450
102168220600
11a129a4257
12506171360
13287285790
14167d67c00
15ca540b00
hex813c6bb8

2168220600 has 864 divisors, whose sum is σ = 9570637440. Its totient is φ = 435456000.

The previous prime is 2168220599. The next prime is 2168220601. The reversal of 2168220600 is 60228612.

It is an interprime number because it is at equal distance from previous prime (2168220599) and next prime (2168220601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168220601) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 35544570 + ... + 35544630.

Almost surely, 22168220600 is an apocalyptic number.

2168220600 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 2168220600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785318720).

2168220600 is an abundant number, since it is smaller than the sum of its proper divisors (7402416840).

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

2168220600 is a wasteful number, since it uses less digits than its factorization.

2168220600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2168220600 is about 46564.1557423733. The cubic root of 2168220600 is about 1294.2986219033.

The spelling of 2168220600 in words is "two billion, one hundred sixty-eight million, two hundred twenty thousand, six hundred".