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114228576 = 253371117101
BaseRepresentation
bin1101100111011…
…11110101100000
321221221102011000
412303233311200
5213220303301
615200152000
72554632630
oct663576540
9257842130
10114228576
115952a690
1232308600
131a885c97
14112566c0
15a065786
hex6cefd60

114228576 has 384 divisors, whose sum is σ = 444165120. Its totient is φ = 27648000.

The previous prime is 114228553. The next prime is 114228581. The reversal of 114228576 is 675822411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114228576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130926 + ... + 1131026.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2114228576 is an apocalyptic number.

114228576 is a gapful number since it is divisible by the number (16) 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 114228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560).

114228576 is an abundant number, since it is smaller than the sum of its proper divisors (329936544).

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

114228576 is a wasteful number, since it uses less digits than its factorization.

114228576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 114228576 is about 10687.7769437802. The cubic root of 114228576 is about 485.2046127125.

The spelling of 114228576 in words is "one hundred fourteen million, two hundred twenty-eight thousand, five hundred seventy-six".