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4323224222240 = 2557211196833863
BaseRepresentation
bin111110111010010100001…
…111100111101000100000
3120022021222221002110100112
4332322110033213220200
51031312430400102430
613110021202510452
7624225345365300
oct76722417475040
916267887073315
104323224222240
111417518404870
12599a53065428
132548a82a1981
1410d360a59600
15776cc4ba195
hex3ee943e7a20

4323224222240 has 576 divisors, whose sum is σ = 13666934615040. Its totient is φ = 1274378434560.

The previous prime is 4323224222227. The next prime is 4323224222243. The reversal of 4323224222240 is 422224223234.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4323224222197 and 4323224222206.

It is not an unprimeable number, because it can be changed into a prime (4323224222243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1119134549 + ... + 1119138411.

It is an arithmetic number, because the mean of its divisors is an integer number (23727317040).

Almost surely, 24323224222240 is an apocalyptic number.

4323224222240 is a gapful number since it is divisible by the number (40) 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 4323224222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833467307520).

4323224222240 is an abundant number, since it is smaller than the sum of its proper divisors (9343710392800).

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

4323224222240 is a wasteful number, since it uses less digits than its factorization.

4323224222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4323224222240 its reverse (422224223234), we get a palindrome (4745448445474).

The spelling of 4323224222240 in words is "four trillion, three hundred twenty-three billion, two hundred twenty-four million, two hundred twenty-two thousand, two hundred forty".