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2345125300 = 22527368371
BaseRepresentation
bin1000101111000111…
…1100010110110100
320001102202201010121
42023301330112310
514300323002200
61024412101324
7112054144000
oct21361742664
96042681117
102345125300
11aa3842391
12555464844
132b4b1480b
14183657700
15dad36e1a
hex8bc7c5b4

2345125300 has 72 divisors (see below), whose sum is σ = 5934689600. Its totient is φ = 804031200.

The previous prime is 2345125261. The next prime is 2345125309. The reversal of 2345125300 is 35215432.

It is a super-2 number, since 2×23451253002 = 10999225345400180000, 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 not an unprimeable number, because it can be changed into a prime (2345125309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 115 + ... + 68485.

Almost surely, 22345125300 is an apocalyptic number.

2345125300 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 2345125300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967344800).

2345125300 is an abundant number, since it is smaller than the sum of its proper divisors (3589564300).

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

2345125300 is a wasteful number, since it uses less digits than its factorization.

2345125300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68406 (or 68385 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2345125300 is about 48426.4937818133. The cubic root of 2345125300 is about 1328.5829783337.

The spelling of 2345125300 in words is "two billion, three hundred forty-five million, one hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 68371 136742 273484 341855 478597 683710 957194 1367420 1709275 1914388 2392985 3350179 3418550 4785970 6700358 6837100 9571940 11964925 13400716 16750895 23451253 23929850 33501790 46902506 47859700 67003580 83754475 93805012 117256265 167508950 234512530 335017900 469025060 586281325 1172562650 2345125300