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402224022240 = 25353747481867
BaseRepresentation
bin1011101101001100110…
…10111000001011100000
31102110012200110101221220
411312212122320023200
523042223322202430
6504440144415040
741026325530605
oct5664632701340
91373180411856
10402224022240
11145644a7a207
1265b54017480
132bc11330b31
14156796d46ac
15a6e1cad110
hex5da66b82e0

402224022240 has 192 divisors, whose sum is σ = 1328937974784. Its totient is φ = 102140172288.

The previous prime is 402224022223. The next prime is 402224022253. The reversal of 402224022240 is 42220422204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 402224022240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593787 + ... + 1075653.

It is an arithmetic number, because the mean of its divisors is an integer number (6921551952).

Almost surely, 2402224022240 is an apocalyptic number.

402224022240 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 402224022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664468987392).

402224022240 is an abundant number, since it is smaller than the sum of its proper divisors (926713952544).

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

402224022240 is a wasteful number, since it uses less digits than its factorization.

402224022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481969 (or 481961 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 402224022240 its reverse (42220422204), we get a palindrome (444444444444).

The spelling of 402224022240 in words is "four hundred two billion, two hundred twenty-four million, twenty-two thousand, two hundred forty".