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2185198428 = 223717101109139
BaseRepresentation
bin1000001000111111…
…0111101101011100
312122021211120201010
42002033313231130
513433402322203
61000500215220
7105102610620
oct20217675534
95567746633
102185198428
11a2153aa16
1250b99a510
1328a94b42a
1416a307180
15cbc96303
hex823f7b5c

2185198428 has 192 divisors, whose sum is σ = 6333465600. Its totient is φ = 572313600.

The previous prime is 2185198423. The next prime is 2185198439. The reversal of 2185198428 is 8248915812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185198423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15720783 + ... + 15720921.

It is an arithmetic number, because the mean of its divisors is an integer number (32986800).

Almost surely, 22185198428 is an apocalyptic number.

2185198428 is a gapful number since it is divisible by the number (28) 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 2185198428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166732800).

2185198428 is an abundant number, since it is smaller than the sum of its proper divisors (4148267172).

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

2185198428 is a wasteful number, since it uses less digits than its factorization.

2185198428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 2185198428 is about 46746.1060196462. The cubic root of 2185198428 is about 1297.6680933540.

The spelling of 2185198428 in words is "two billion, one hundred eighty-five million, one hundred ninety-eight thousand, four hundred twenty-eight".