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2232345240 = 2332559227463
BaseRepresentation
bin1000010100001110…
…1110001010011000
312202120112212222100
42011003232022120
514032440021430
61005302523400
7106214423106
oct20503561230
95676485870
102232345240
11a46112024
12523736560
13297647c58
1417269ac76
15d0eaa960
hex850ee298

2232345240 has 192 divisors, whose sum is σ = 7426598400. Its totient is φ = 581366016.

The previous prime is 2232345187. The next prime is 2232345251. The reversal of 2232345240 is 425432322.

It is a happy number.

It is a super-3 number, since 3×22323452403 (a number of 29 digits) contains 333 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 4821249 + ... + 4821711.

It is an arithmetic number, because the mean of its divisors is an integer number (38680200).

Almost surely, 22232345240 is an apocalyptic number.

2232345240 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 2232345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713299200).

2232345240 is an abundant number, since it is smaller than the sum of its proper divisors (5194253160).

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

2232345240 is a wasteful number, since it uses less digits than its factorization.

2232345240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2232345240 is about 47247.7008964457. The cubic root of 2232345240 is about 1306.9343928828.

Adding to 2232345240 its reverse (425432322), we get a palindrome (2657777562).

The spelling of 2232345240 in words is "two billion, two hundred thirty-two million, three hundred forty-five thousand, two hundred forty".