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114230432 = 2519892111
BaseRepresentation
bin1101100111100…
…00010010100000
321221221111200202
412303300102200
5213220333212
615200204332
72554641221
oct663602240
9257844622
10114230432
1159531018
12323096a8
131a886a94
1411257248
15a0660c2
hex6cf04a0

114230432 has 48 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 53475840.

The previous prime is 114230411. The next prime is 114230453. The reversal of 114230432 is 234032411.

It is an interprime number because it is at equal distance from previous prime (114230411) and next prime (114230453).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53057 + ... + 55167.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2114230432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

114230432 is an abundant number, since it is smaller than the sum of its proper divisors (125270368).

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

114230432 is a wasteful number, since it uses less digits than its factorization.

114230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 114230432 is about 10687.8637715869. The cubic root of 114230432 is about 485.2072405864.

Adding to 114230432 its reverse (234032411), we get a palindrome (348262843).

The spelling of 114230432 in words is "one hundred fourteen million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 304 356 608 712 1424 1691 2111 2848 3382 4222 6764 8444 13528 16888 27056 33776 40109 54112 67552 80218 160436 187879 320872 375758 641744 751516 1283488 1503032 3006064 3569701 6012128 7139402 14278804 28557608 57115216 114230432