Search a number
-
+
114404472 = 233271319919
BaseRepresentation
bin1101101000110…
…10110001111000
321222021100102200
412310122301320
5213241420342
615204030200
72556264510
oct664326170
9258240380
10114404472
115963a856
1232392360
131a918070
14112a0840
15a09c94c
hex6d1ac78

114404472 has 192 divisors, whose sum is σ = 401856000. Its totient is φ = 28553472.

The previous prime is 114404431. The next prime is 114404483. The reversal of 114404472 is 274404411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124029 + ... + 124947.

It is an arithmetic number, because the mean of its divisors is an integer number (2093000).

Almost surely, 2114404472 is an apocalyptic number.

114404472 is a gapful number since it is divisible by the number (12) 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 114404472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200928000).

114404472 is an abundant number, since it is smaller than the sum of its proper divisors (287451528).

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

114404472 is a wasteful number, since it uses less digits than its factorization.

114404472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 114404472 is about 10696.0026178007. The cubic root of 114404472 is about 485.4535340252.

Adding to 114404472 its reverse (274404411), we get a palindrome (388808883).

The spelling of 114404472 in words is "one hundred fourteen million, four hundred four thousand, four hundred seventy-two".