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2345105500 = 225389151349
BaseRepresentation
bin1000101111000111…
…0111100001011100
320001102201200222021
42023301313201130
514300321334000
61024411425524
7112054032163
oct21361674134
96042650867
102345105500
11aa3829521
125554552a4
132b4b087ba
141836503da
15dad3111a
hex8bc7785c

2345105500 has 96 divisors (see below), whose sum is σ = 5228496000. Its totient is φ = 918720000.

The previous prime is 2345105459. The next prime is 2345105519. The reversal of 2345105500 is 55015432.

It is a super-2 number, since 2×23451055002 = 10999039612260500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6719326 + ... + 6719674.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 22345105500 is an apocalyptic number.

2345105500 is a gapful number since it is divisible by the number (20) 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 2345105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614248000).

2345105500 is an abundant number, since it is smaller than the sum of its proper divisors (2883390500).

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

2345105500 is a wasteful number, since it uses less digits than its factorization.

2345105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 2345105500 is about 48426.2893478325. The cubic root of 2345105500 is about 1328.5792392275.

The spelling of 2345105500 in words is "two billion, three hundred forty-five million, one hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 125 151 178 250 302 349 356 445 500 604 698 755 890 1396 1510 1745 1780 2225 3020 3490 3775 4450 6980 7550 8725 8900 11125 13439 15100 17450 18875 22250 26878 31061 34900 37750 43625 44500 52699 53756 62122 67195 75500 87250 105398 124244 134390 155305 174500 210796 263495 268780 310610 335975 526990 621220 671950 776525 1053980 1317475 1343900 1553050 1679875 2634950 3106100 3359750 3882625 4690211 5269900 6587375 6719500 7765250 9380422 13174750 15530500 18760844 23451055 26349500 46902110 93804220 117255275 234510550 469021100 586276375 1172552750 2345105500