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2293003440 = 2432571379443
BaseRepresentation
bin1000100010101100…
…0111010010110000
312220210200122101100
42020223013102300
514144002102230
61015311004400
7110552131140
oct21053072260
95823618340
102293003440
11a77382472
1253bb09700
132a7095690
1417a76a920
15d648d660
hex88ac74b0

2293003440 has 480 divisors, whose sum is σ = 9619384320. Its totient is φ = 476596224.

The previous prime is 2293003421. The next prime is 2293003457. The reversal of 2293003440 is 443003922.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5175859 + ... + 5176301.

It is an arithmetic number, because the mean of its divisors is an integer number (20040384).

Almost surely, 22293003440 is an apocalyptic number.

2293003440 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 2293003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809692160).

2293003440 is an abundant number, since it is smaller than the sum of its proper divisors (7326380880).

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

2293003440 is a wasteful number, since it uses less digits than its factorization.

2293003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2293003440 is about 47885.3154944185. The cubic root of 2293003440 is about 1318.6662837328. Note that the first 3 decimals are identical.

The spelling of 2293003440 in words is "two billion, two hundred ninety-three million, three thousand, four hundred forty".