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2233431024440 = 2357112499913187
BaseRepresentation
bin100000100000000010110…
…111001110001100111000
321220111212122111112112212
4200200002313032030320
5243043031320240230
64430005105554252
7320234334321440
oct40400267161470
97814778445485
102233431024440
11791213651500
12300a2b645988
131327c4a147c5
147a154941120
153d16b3b0895
hex20802dce338

2233431024440 has 192 divisors, whose sum is σ = 6314414400000. Its totient is φ = 695942311680.

The previous prime is 2233431024439. The next prime is 2233431024467. The reversal of 2233431024440 is 444201343322.

It is a super-2 number, since 2×22334310244402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2233431024397 and 2233431024406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169359527 + ... + 169372713.

It is an arithmetic number, because the mean of its divisors is an integer number (32887575000).

Almost surely, 22233431024440 is an apocalyptic number.

2233431024440 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 2233431024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157207200000).

2233431024440 is an abundant number, since it is smaller than the sum of its proper divisors (4080983375560).

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

2233431024440 is a wasteful number, since it uses less digits than its factorization.

2233431024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18226 (or 18211 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2233431024440 its reverse (444201343322), we get a palindrome (2677632367762).

The spelling of 2233431024440 in words is "two trillion, two hundred thirty-three billion, four hundred thirty-one million, twenty-four thousand, four hundred forty".