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2283925248 = 283411171931
BaseRepresentation
bin1000100000100001…
…1110111100000000
312220011121102110000
42020020132330000
514134141101443
61014344240000
7110412021123
oct21010367400
95804542400
102283925248
11a72241930
12538a70000
132a5237577
141794863ba
15d57988d3
hex8821ef00

2283925248 has 720 divisors, whose sum is σ = 8547517440. Its totient is φ = 597196800.

The previous prime is 2283925243. The next prime is 2283925249. The reversal of 2283925248 is 8425293822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283925243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73674993 + ... + 73675023.

It is an arithmetic number, because the mean of its divisors is an integer number (11871552).

Almost surely, 22283925248 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 2283925248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

2283925248 is an abundant number, since it is smaller than the sum of its proper divisors (6263592192).

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

2283925248 is a wasteful number, since it uses less digits than its factorization.

2283925248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 2283925248 is about 47790.4305065355. The cubic root of 2283925248 is about 1316.9237454617.

The spelling of 2283925248 in words is "two billion, two hundred eighty-three million, nine hundred twenty-five thousand, two hundred forty-eight".