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BaseRepresentation
bin1101100111011…
…11010011100000
321221221022011102
412303233103200
5213220221100
615200133532
72554623401
oct663572340
9257838142
10114226400
1159528a92
12323072a8
131a884cb2
14112559a8
15a064cd5
hex6cef4e0

114226400 has 144 divisors (see below), whose sum is σ = 304574256. Its totient is φ = 41656320.

The previous prime is 114226393. The next prime is 114226429. The reversal of 114226400 is 4622411.

Adding to 114226400 its reverse (4622411), we get a palindrome (118848811).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 503087 + ... + 503313.

It is an arithmetic number, because the mean of its divisors is an integer number (2115099).

Almost surely, 2114226400 is an apocalyptic number.

114226400 is a gapful number since it is divisible by the number (10) 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 114226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152287128).

114226400 is an abundant number, since it is smaller than the sum of its proper divisors (190347856).

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

114226400 is a wasteful number, since it uses less digits than its factorization.

114226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114226400 is about 10687.6751447637. The cubic root of 114226400 is about 485.2015317206.

The spelling of 114226400 in words is "one hundred fourteen million, two hundred twenty-six thousand, four hundred".