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2293442424 = 2334713192389
BaseRepresentation
bin1000100010110011…
…0010011101111000
312220211111221120000
42020230302131320
514144110124144
61015324233000
7110555640030
oct21054623570
95824457500
102293442424
11a77652269
1254009b760
132a71ba430
1417a8428c0
15d6528769
hex88b32778

2293442424 has 640 divisors, whose sum is σ = 8781696000. Its totient is φ = 541956096.

The previous prime is 2293442413. The next prime is 2293442429. The reversal of 2293442424 is 4242443922.

2293442424 is a `hidden beast` number, since 229 + 3 + 4 + 4 + 2 + 424 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293442429) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25768972 + ... + 25769060.

It is an arithmetic number, because the mean of its divisors is an integer number (13721400).

Almost surely, 22293442424 is an apocalyptic number.

2293442424 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 2293442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2293442424 is an abundant number, since it is smaller than the sum of its proper divisors (6488253576).

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

2293442424 is a wasteful number, since it uses less digits than its factorization.

2293442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 2293442424 is about 47889.8989767153. The cubic root of 2293442424 is about 1318.7504290438.

The spelling of 2293442424 in words is "two billion, two hundred ninety-three million, four hundred forty-two thousand, four hundred twenty-four".