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114232320 = 2103253767
BaseRepresentation
bin1101100111100…
…00110000000000
321221221121021200
412303300300000
5213220413240
615200221200
72554646556
oct663606000
9257847250
10114232320
1159532484
123230a800
131a8878b7
1411257bd6
15a066930
hex6cf0c00

114232320 has 264 divisors, whose sum is σ = 412576944. Its totient is φ = 29196288.

The previous prime is 114232297. The next prime is 114232337. The reversal of 114232320 is 23232411.

114232320 is a `hidden beast` number, since 11 + 423 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114232293 and 114232302.

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, 1704927 + ... + 1704993.

Almost surely, 2114232320 is an apocalyptic number.

114232320 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 114232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206288472).

114232320 is an abundant number, since it is smaller than the sum of its proper divisors (298344624).

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

114232320 is a wasteful number, since it uses less digits than its factorization.

114232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 114232320 is about 10687.9520957010. The cubic root of 114232320 is about 485.2099137393.

Adding to 114232320 its reverse (23232411), we get a palindrome (137464731).

Subtracting from 114232320 its reverse (23232411), we obtain a palindrome (90999909).

The spelling of 114232320 in words is "one hundred fourteen million, two hundred thirty-two thousand, three hundred twenty".