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231010230400 = 275294176717
BaseRepresentation
bin1101011100100101001…
…0000110000010000000
3211002021111111121110021
43113021102012002000
512241102104333100
6254042530543224
722455435362665
oct3271122060200
9732244447407
10231010230400
1189a75286294
1238930a37b14
1318a26a93b31
14b27677ba6c
156020b00a1a
hex35c9486080

231010230400 has 96 divisors (see below), whose sum is σ = 571281354180. Its totient is φ = 92304691200.

The previous prime is 231010230389. The next prime is 231010230443. The reversal of 231010230400 is 4032010132.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 131815468096 + 99194762304 = 363064^2 + 314952^2 .

It is a super-2 number, since 2×2310102304002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2972842 + ... + 3049558.

Almost surely, 2231010230400 is an apocalyptic number.

231010230400 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 231010230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285640677090).

231010230400 is an abundant number, since it is smaller than the sum of its proper divisors (340271123780).

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

231010230400 is an equidigital number, since it uses as much as digits as its factorization.

231010230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77682 (or 77665 counting only the distinct ones).

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

Adding to 231010230400 its reverse (4032010132), we get a palindrome (235042240532).

The spelling of 231010230400 in words is "two hundred thirty-one billion, ten million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 941 1600 1882 3200 3764 4705 7528 9410 15056 18820 23525 30112 37640 47050 60224 75280 76717 94100 120448 150560 153434 188200 301120 306868 376400 383585 602240 613736 752800 767170 1227472 1505600 1534340 1917925 2454944 3011200 3068680 3835850 4909888 6137360 7671700 9819776 12274720 15343400 24549440 30686800 49098880 61373600 72190697 122747200 144381394 245494400 288762788 360953485 577525576 721906970 1155051152 1443813940 1804767425 2310102304 2887627880 3609534850 4620204608 5775255760 7219069700 9240409216 11550511520 14438139400 23101023040 28876278800 46202046080 57752557600 115505115200 231010230400