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2241474840 = 233251119313
BaseRepresentation
bin1000010110011010…
…0011000100011000
312210012201201102200
42011212203010120
514042304143330
61010230330200
7106355136033
oct20546430430
95705651380
102241474840
11a50288250
125267b9960
132994c3597
1417399601a
15d1bb0a60
hex859a3118

2241474840 has 384 divisors, whose sum is σ = 8644147200. Its totient is φ = 498182400.

The previous prime is 2241474817. The next prime is 2241474881. The reversal of 2241474840 is 484741422.

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 = 2241474795 and 2241474804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72305625 + ... + 72305655.

It is an arithmetic number, because the mean of its divisors is an integer number (22510800).

Almost surely, 22241474840 is an apocalyptic number.

2241474840 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 2241474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322073600).

2241474840 is an abundant number, since it is smaller than the sum of its proper divisors (6402672360).

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

2241474840 is a wasteful number, since it uses less digits than its factorization.

2241474840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 2241474840 is about 47344.2165422557. The cubic root of 2241474840 is about 1308.7136217560.

The spelling of 2241474840 in words is "two billion, two hundred forty-one million, four hundred seventy-four thousand, eight hundred forty".