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2198043540 = 2234571167263
BaseRepresentation
bin1000001100000011…
…0111101110010100
312200012000011220000
42003000313232110
514000144343130
61002035411300
7105320030130
oct20300675624
95605004800
102198043540
11a28813710
12514153b30
132904c7ca4
1416bccc3c0
15cce82260
hex83037b94

2198043540 has 480 divisors, whose sum is σ = 8758278144. Its totient is φ = 448208640.

The previous prime is 2198043527. The next prime is 2198043583. The reversal of 2198043540 is 453408912.

2198043540 is a `hidden beast` number, since 21 + 98 + 0 + 4 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2198043495 and 2198043504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8357449 + ... + 8357711.

Almost surely, 22198043540 is an apocalyptic number.

2198043540 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 2198043540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379139072).

2198043540 is an abundant number, since it is smaller than the sum of its proper divisors (6560234604).

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

2198043540 is a wasteful number, since it uses less digits than its factorization.

2198043540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2198043540 is about 46883.2970256999. The cubic root of 2198043540 is about 1300.2057938505.

The spelling of 2198043540 in words is "two billion, one hundred ninety-eight million, forty-three thousand, five hundred forty".