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231023221440 = 26351121877199
BaseRepresentation
bin1101011100101000001…
…1101001101011000000
3211002022101221121210220
43113022003221223000
512241113421041230
6254044113223040
722455653660514
oct3271203515300
9732271847726
10231023221440
1189a81649690
1238935261a80
1318a29691c3b
14b2783a0144
156021d19d10
hex35ca0e9ac0

231023221440 has 112 divisors (see below), whose sum is σ = 800180467200. Its totient is φ = 56005626880.

The previous prime is 231023221427. The next prime is 231023221441. The reversal of 231023221440 is 44122320132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231023221440.

It is not an unprimeable number, because it can be changed into a prime (231023221441) 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 15 ways as a sum of consecutive naturals, for example, 10928040 + ... + 10949159.

Almost surely, 2231023221440 is an apocalyptic number.

231023221440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231023221440 is an abundant number, since it is smaller than the sum of its proper divisors (569157245760).

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

231023221440 is a wasteful number, since it uses less digits than its factorization.

231023221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21877230 (or 21877220 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 231023221440 its reverse (44122320132), we get a palindrome (275145541572).

The spelling of 231023221440 in words is "two hundred thirty-one billion, twenty-three million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 21877199 43754398 65631597 87508796 109385995 131263194 175017592 218771990 240649189 262526388 328157985 350035184 437543980 481298378 525052776 656315970 700070368 721947567 875087960 962596756 1050105552 1203245945 1312631940 1400140736 1443895134 1750175920 1925193512 2100211104 2406491890 2625263880 2887790268 3500351840 3609737835 3850387024 4200422208 4812983780 5250527760 5775580536 7000703680 7219475670 7700774048 9625967560 10501055520 11551161072 14438951340 15401548096 19251935120 21002111040 23102322144 28877902680 38503870240 46204644288 57755805360 77007740480 115511610720 231023221440