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2196218112 = 283112389127
BaseRepresentation
bin1000001011100111…
…1010000100000000
312200001120102212120
42002321322010000
513444212434422
61001532324240
7105265355154
oct20271720400
95601512776
102196218112
11a277871a0
12513613680
1329000915a
1416b975064
15ccc2145c
hex82e7a100

2196218112 has 288 divisors, whose sum is σ = 6781501440. Its totient is φ = 624476160.

The previous prime is 2196218069. The next prime is 2196218119. The reversal of 2196218112 is 2118126912.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2196218119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17292993 + ... + 17293119.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 22196218112 is an apocalyptic number.

2196218112 is a gapful number since it is divisible by the number (22) 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 2196218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390750720).

2196218112 is an abundant number, since it is smaller than the sum of its proper divisors (4585283328).

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

2196218112 is a wasteful number, since it uses less digits than its factorization.

2196218112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 2196218112 is about 46863.8251959867. The cubic root of 2196218112 is about 1299.8457631611.

The spelling of 2196218112 in words is "two billion, one hundred ninety-six million, two hundred eighteen thousand, one hundred twelve".