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2092117248 = 2835132199
BaseRepresentation
bin111110010110011…
…0010110100000000
312101210200120100000
41330230302310000
513241040222443
6543333200000
7102562463124
oct17454626400
95353616300
102092117248
11983a44721
124a4790000
1327458ac00
1415bbd7584
15c3a0b8d3
hex7cb32d00

2092117248 has 324 divisors, whose sum is σ = 6807746400. Its totient is φ = 640493568.

The previous prime is 2092117241. The next prime is 2092117253. The reversal of 2092117248 is 8427112902.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2092117241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10513053 + ... + 10513251.

Almost surely, 22092117248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403873200).

2092117248 is an abundant number, since it is smaller than the sum of its proper divisors (4715629152).

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

2092117248 is an equidigital number, since it uses as much as digits as its factorization.

2092117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2092117248 is about 45739.6682104276. The cubic root of 2092117248 is about 1278.9748562715.

The spelling of 2092117248 in words is "two billion, ninety-two million, one hundred seventeen thousand, two hundred forty-eight".