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2240003430 = 2335741137211
BaseRepresentation
bin1000010110000011…
…1011110101100110
312210002221222001000
42011200323311212
514041420102210
61010135014130
7106336500150
oct20540736546
95702858030
102240003430
11a4a472805
1252620a346
132990c9922
141736d1ad0
15d19beac0
hex8583bd66

2240003430 has 256 divisors, whose sum is σ = 7077611520. Its totient is φ = 493516800.

The previous prime is 2240003411. The next prime is 2240003431. The reversal of 2240003430 is 343000422.

2240003430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240003431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10616025 + ... + 10616235.

It is an arithmetic number, because the mean of its divisors is an integer number (27646920).

Almost surely, 22240003430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538805760).

2240003430 is an abundant number, since it is smaller than the sum of its proper divisors (4837608090).

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

2240003430 is a wasteful number, since it uses less digits than its factorization.

2240003430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2240003430 is about 47328.6745007717. The cubic root of 2240003430 is about 1308.4271919178.

Adding to 2240003430 its reverse (343000422), we get a palindrome (2583003852).

The spelling of 2240003430 in words is "two billion, two hundred forty million, three thousand, four hundred thirty".