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2242477440 = 27335718539
BaseRepresentation
bin1000010110101001…
…0111110110000000
312210021121122202000
42011222113312000
514043033234230
61010304024000
7106366513050
oct20552276600
95707548660
102242477440
11a50902545
12527002000
13299784a38
14173b77560
15d1d0cb60
hex85a97d80

2242477440 has 256 divisors, whose sum is σ = 9077184000. Its totient is φ = 512538624.

The previous prime is 2242477439. The next prime is 2242477499. The reversal of 2242477440 is 447742422.

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 = 2242477395 and 2242477404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111691 + ... + 130229.

It is an arithmetic number, because the mean of its divisors is an integer number (35457750).

Almost surely, 22242477440 is an apocalyptic number.

2242477440 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 2242477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538592000).

2242477440 is an abundant number, since it is smaller than the sum of its proper divisors (6834706560).

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

2242477440 is a wasteful number, since it uses less digits than its factorization.

2242477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18574 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 2242477440 is about 47354.8037689948. The cubic root of 2242477440 is about 1308.9087195949.

The spelling of 2242477440 in words is "two billion, two hundred forty-two million, four hundred seventy-seven thousand, four hundred forty".