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2675143200 = 253525321031
BaseRepresentation
bin1001111101110011…
…0111001000100000
320220102202100120210
42133130313020200
520434314040300
61121241334120
7123202225212
oct23734671040
96812670523
102675143200
111153059754
12627a97340
133382c2792
141b54025b2
15109cc5050
hex9f737220

2675143200 has 144 divisors (see below), whose sum is σ = 8872307136. Its totient is φ = 699878400.

The previous prime is 2675143199. The next prime is 2675143201. The reversal of 2675143200 is 23415762.

2675143200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2675143199) and next prime (2675143201).

It is a super-2 number, since 2×26751432002 = 14312782281012480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2675143201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116685 + ... + 137715.

It is an arithmetic number, because the mean of its divisors is an integer number (61613244).

Almost surely, 22675143200 is an apocalyptic number.

2675143200 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 2675143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436153568).

2675143200 is an abundant number, since it is smaller than the sum of its proper divisors (6197163936).

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

2675143200 is a wasteful number, since it uses less digits than its factorization.

2675143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21107 (or 21094 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2675143200 is about 51721.7865120686. The cubic root of 2675143200 is about 1388.1903195855.

Adding to 2675143200 its reverse (23415762), we get a palindrome (2698558962).

The spelling of 2675143200 in words is "two billion, six hundred seventy-five million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 75 80 96 100 106 120 150 159 160 200 212 240 265 300 318 400 424 480 530 600 636 795 800 848 1060 1200 1272 1325 1590 1696 2120 2400 2544 2650 3180 3975 4240 5088 5300 6360 7950 8480 10600 12720 15900 21031 21200 25440 31800 42062 42400 63093 63600 84124 105155 126186 127200 168248 210310 252372 315465 336496 420620 504744 525775 630930 672992 841240 1009488 1051550 1114643 1261860 1577325 1682480 2018976 2103100 2229286 2523720 3154650 3343929 3364960 4206200 4458572 5047440 5573215 6309300 6687858 8412400 8917144 10094880 11146430 12618600 13375716 16719645 16824800 17834288 22292860 25237200 26751432 27866075 33439290 35668576 44585720 50474400 53502864 55732150 66878580 83598225 89171440 107005728 111464300 133757160 167196450 178342880 222928600 267514320 334392900 445857200 535028640 668785800 891714400 1337571600 2675143200