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2423254400 = 27527251431
BaseRepresentation
bin1001000001101111…
…1110110110000000
320020212210002002222
42100123332312000
514430323120100
61040242430212
7114023215430
oct22033766600
96225702088
102423254400
111033955996
12577662368
132c806b458
1418db942c0
15e2b1b485
hex906fed80

2423254400 has 192 divisors, whose sum is σ = 6884559360. Its totient is φ = 825600000.

The previous prime is 2423254399. The next prime is 2423254411. The reversal of 2423254400 is 44523242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2423254400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5622185 + ... + 5622615.

It is an arithmetic number, because the mean of its divisors is an integer number (35857080).

Almost surely, 22423254400 is an apocalyptic number.

2423254400 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 2423254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442279680).

2423254400 is an abundant number, since it is smaller than the sum of its proper divisors (4461304960).

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

2423254400 is a wasteful number, since it uses less digits than its factorization.

2423254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2423254400 is about 49226.5619356055. The cubic root of 2423254400 is about 1343.1762478621.

Adding to 2423254400 its reverse (44523242), we get a palindrome (2467777642).

The spelling of 2423254400 in words is "two billion, four hundred twenty-three million, two hundred fifty-four thousand, four hundred".