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2148292608 = 211371119239
BaseRepresentation
bin1000000000001100…
…0101100000000000
312112201101120102220
42000003011200000
513344430330413
6553101211040
7104144120520
oct20003054000
95481346386
102148292608
11a02723040
124bb560a80
132830c9077
1416545b680
15c8906223
hex800c5800

2148292608 has 384 divisors, whose sum is σ = 7547904000. Its totient is φ = 526417920.

The previous prime is 2148292603. The next prime is 2148292633. The reversal of 2148292608 is 8062928412.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×21482926082 = 9230322259174883328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2148292608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148292603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988553 + ... + 8988791.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 22148292608 is an apocalyptic number.

2148292608 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 2148292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2148292608 is an abundant number, since it is smaller than the sum of its proper divisors (5399611392).

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

2148292608 is a wasteful number, since it uses less digits than its factorization.

2148292608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2148292608 is about 46349.6775393314. The cubic root of 2148292608 is about 1290.3211363218.

The spelling of 2148292608 in words is "two billion, one hundred forty-eight million, two hundred ninety-two thousand, six hundred eight".