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2330690112 = 26343114503
BaseRepresentation
bin1000101011101011…
…1000001001000000
320000102121022210000
42022322320021000
514233124040422
61023134440000
7111520352622
oct21272701100
96012538700
102330690112
11a96682a83
12550663000
132b1b2c29a
1418177ac12
15d9934cac
hex8aeb8240

2330690112 has 140 divisors (see below), whose sum is σ = 7132254976. Its totient is φ = 751783680.

The previous prime is 2330690083. The next prime is 2330690113. The reversal of 2330690112 is 2110960332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330690113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153453 + ... + 167955.

Almost surely, 22330690112 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 2330690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566127488).

2330690112 is an abundant number, since it is smaller than the sum of its proper divisors (4801564864).

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

2330690112 is a wasteful number, since it uses less digits than its factorization.

2330690112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14558 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2330690112 is about 48277.2214610576. The cubic root of 2330690112 is about 1325.8513786869.

The spelling of 2330690112 in words is "two billion, three hundred thirty million, six hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 14503 17856 20088 26784 29006 40176 43509 53568 58012 80352 87018 116024 130527 160704 174036 232048 261054 348072 391581 449593 464096 522108 696144 783162 899186 928192 1044216 1174743 1348779 1392288 1566324 1798372 2088432 2349486 2697558 2784576 3132648 3596744 4046337 4176864 4698972 5395116 6265296 7193488 8092674 8353728 9397944 10790232 12139011 12530592 14386976 16185348 18795888 21580464 24278022 25061184 28773952 32370696 36417033 37591776 43160928 48556044 64741392 72834066 75183552 86321856 97112088 129482784 145668132 194224176 258965568 291336264 388448352 582672528 776896704 1165345056 2330690112