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2423214400 = 265219791009
BaseRepresentation
bin1001000001101111…
…0101000101000000
320020212201001020111
42100123311011000
514430320330100
61040241521104
7114022661005
oct22033650500
96225631214
102423214400
111033928932
12577643194
132c8056199
1418db838ac
15e2b0e6ba
hex906f5140

2423214400 has 168 divisors, whose sum is σ = 6362192000. Its totient is φ = 905748480.

The previous prime is 2423214379. The next prime is 2423214407. The reversal of 2423214400 is 44123242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423214407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2401096 + ... + 2402104.

Almost surely, 22423214400 is an apocalyptic number.

2423214400 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 2423214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181096000).

2423214400 is an abundant number, since it is smaller than the sum of its proper divisors (3938977600).

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

2423214400 is a wasteful number, since it uses less digits than its factorization.

2423214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2423214400 is about 49226.1556492075. The cubic root of 2423214400 is about 1343.1688573400.

Adding to 2423214400 its reverse (44123242), we get a palindrome (2467337642).

The spelling of 2423214400 in words is "two billion, four hundred twenty-three million, two hundred fourteen thousand, four hundred".