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2031143200 = 25527093581
BaseRepresentation
bin111100100010000…
…1100100100100000
312020112221202122221
41321010030210200
513124433040300
6533314240424
7101222301202
oct17104144440
95215852587
102031143200
11952588a49
12488286114
13264a5c7a8
14153a84772
15bd4b531a
hex7910c920

2031143200 has 72 divisors (see below), whose sum is σ = 4966908660. Its totient is φ = 811084800.

The previous prime is 2031143189. The next prime is 2031143203. The reversal of 2031143200 is 23411302.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 768620176 + 1262523024 = 27724^2 + 35532^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2031143203) 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 11 ways as a sum of consecutive naturals, for example, 565410 + ... + 568990.

Almost surely, 22031143200 is an apocalyptic number.

2031143200 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 2031143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483454330).

2031143200 is an abundant number, since it is smaller than the sum of its proper divisors (2935765460).

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

2031143200 is a wasteful number, since it uses less digits than its factorization.

2031143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2031143200 is about 45068.2060881061. The cubic root of 2031143200 is about 1266.4270584017.

Adding to 2031143200 its reverse (23411302), we get a palindrome (2054554502).

The spelling of 2031143200 in words is "two billion, thirty-one million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 709 800 1418 2836 3545 3581 5672 7090 7162 11344 14180 14324 17725 17905 22688 28360 28648 35450 35810 56720 57296 70900 71620 89525 113440 114592 141800 143240 179050 283600 286480 358100 567200 572960 716200 1432400 2538929 2864800 5077858 10155716 12694645 20311432 25389290 40622864 50778580 63473225 81245728 101557160 126946450 203114320 253892900 406228640 507785800 1015571600 2031143200