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2293453440 = 2735514747
BaseRepresentation
bin1000100010110011…
…0101001010000000
312220211112111200000
42020230311022000
514144111002230
61015324400000
7110556014115
oct21054651200
95824474600
102293453440
11a7765a573
125400a6000
132a71c2455
1417a84690c
15d652bb60
hex88b35280

2293453440 has 192 divisors, whose sum is σ = 8213456160. Its totient is φ = 611546112.

The previous prime is 2293453433. The next prime is 2293453451. The reversal of 2293453440 is 443543922.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 2293453395 and 2293453404.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148147 + ... + 162893.

Almost surely, 22293453440 is an apocalyptic number.

2293453440 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 2293453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106728080).

2293453440 is an abundant number, since it is smaller than the sum of its proper divisors (5920002720).

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

2293453440 is an equidigital number, since it uses as much as digits as its factorization.

2293453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14781 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2293453440 is about 47890.0139903926. The cubic root of 2293453440 is about 1318.7525404741.

The spelling of 2293453440 in words is "two billion, two hundred ninety-three million, four hundred fifty-three thousand, four hundred forty".