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2320245200 = 245271363743
BaseRepresentation
bin1000101001001100…
…0010000111010000
312222200221200001102
42022103002013100
514222440321300
61022122523532
7111332521160
oct21223020720
95880850042
102320245200
11a90799619
125490665a8
132ac913070
1418021c5a0
15d8a700d5
hex8a4c21d0

2320245200 has 120 divisors (see below), whose sum is σ = 6860894208. Its totient is φ = 734307840.

The previous prime is 2320245197. The next prime is 2320245203. The reversal of 2320245200 is 25420232.

It is an interprime number because it is at equal distance from previous prime (2320245197) and next prime (2320245203).

It is a super-3 number, since 3×23202452003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320245203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4529 + ... + 68271.

Almost surely, 22320245200 is an apocalyptic number.

2320245200 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 2320245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430447104).

2320245200 is an abundant number, since it is smaller than the sum of its proper divisors (4540649008).

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

2320245200 is a wasteful number, since it uses less digits than its factorization.

2320245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63781 (or 63770 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2320245200 is about 48168.9235918761. The cubic root of 2320245200 is about 1323.8678260306.

Adding to 2320245200 its reverse (25420232), we get a palindrome (2345665432).

The spelling of 2320245200 in words is "two billion, three hundred twenty million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 63743 127486 254972 318715 446201 509944 637430 828659 892402 1019888 1274860 1593575 1657318 1784804 2231005 2549720 3187150 3314636 3569608 4143295 4462010 5099440 5800613 6374300 6629272 7139216 8286590 8924020 11155025 11601226 12748600 13258544 16573180 17848040 20716475 22310050 23202452 25497200 29003065 33146360 35696080 41432950 44620100 46404904 58006130 66292720 82865900 89240200 92809808 116012260 145015325 165731800 178480400 232024520 290030650 331463600 464049040 580061300 1160122600 2320245200