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2243488104 = 2334112133171
BaseRepresentation
bin1000010110111000…
…1110100101101000
312210100112000010000
42011232032211220
514043313104404
61010341423000
7106411222434
oct20556164550
95710460100
102243488104
11a51432900
1252740aa60
13299a49a70
14173d5b9c4
15d1e5c339
hex85b8e968

2243488104 has 480 divisors, whose sum is σ = 7786437120. Its totient is φ = 598752000.

The previous prime is 2243488097. The next prime is 2243488123. The reversal of 2243488104 is 4018843422.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31598389 + ... + 31598459.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 22243488104 is an apocalyptic number.

2243488104 is a gapful number since it is divisible by the number (24) 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 2243488104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893218560).

2243488104 is an abundant number, since it is smaller than the sum of its proper divisors (5542949016).

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

2243488104 is a wasteful number, since it uses less digits than its factorization.

2243488104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2243488104 is about 47365.4737546243. The cubic root of 2243488104 is about 1309.1053277768.

The spelling of 2243488104 in words is "two billion, two hundred forty-three million, four hundred eighty-eight thousand, one hundred four".