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83230112 = 257438641
BaseRepresentation
bin1001111010111…
…11110110100000
312210121112020202
410331133312200
5132301330422
612131524332
72030305250
oct475376640
9183545222
1083230112
1142a88019
1223a596a8
13143216b4
14b0a7960
157490b92
hex4f5fda0

83230112 has 48 divisors (see below), whose sum is σ = 191644992. Its totient is φ = 34836480.

The previous prime is 83230097. The next prime is 83230129. The reversal of 83230112 is 21103238.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5312 + ... + 13952.

It is an arithmetic number, because the mean of its divisors is an integer number (3992604).

Almost surely, 283230112 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 83230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95822496).

83230112 is an abundant number, since it is smaller than the sum of its proper divisors (108414880).

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

83230112 is a wasteful number, since it uses less digits than its factorization.

83230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8701 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 83230112 is about 9123.0538746628. The cubic root of 83230112 is about 436.6098135747.

The spelling of 83230112 in words is "eighty-three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 8641 9632 17282 34564 60487 69128 120974 138256 241948 276512 371563 483896 743126 967792 1486252 1935584 2600941 2972504 5201882 5945008 10403764 11890016 20807528 41615056 83230112