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2231230413344 = 253141113485479
BaseRepresentation
bin100000011101111111101…
…100100011101000100000
321220022012021122220122012
4200131333230203220200
5243024024441211334
64425002455132052
7320125653405602
oct40357754435040
97808167586565
102231230413344
11790294444849
12300516674028
13132533b2ac6a
1479dc6585172
153d08d0c29ce
hex2077fb23a20

2231230413344 has 96 divisors (see below), whose sum is σ = 4686148131840. Its totient is φ = 1043971891200.

The previous prime is 2231230413323. The next prime is 2231230413361. The reversal of 2231230413344 is 4433140321322.

It is a super-3 number, since 3×22312304133443 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2231230413344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4353197 + ... + 4838675.

It is an arithmetic number, because the mean of its divisors is an integer number (48814043040).

Almost surely, 22231230413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231230413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343074065920).

2231230413344 is an abundant number, since it is smaller than the sum of its proper divisors (2454917718496).

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

2231230413344 is a wasteful number, since it uses less digits than its factorization.

2231230413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485674 (or 485666 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2231230413344 its reverse (4433140321322), we get a palindrome (6664370734666).

The spelling of 2231230413344 in words is "two trillion, two hundred thirty-one billion, two hundred thirty million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 41 62 82 113 124 164 226 248 328 452 496 656 904 992 1271 1312 1808 2542 3503 3616 4633 5084 7006 9266 10168 14012 18532 20336 28024 37064 40672 56048 74128 112096 143623 148256 287246 485479 574492 970958 1148984 1941916 2297968 3883832 4595936 7767664 15049849 15535328 19904639 30099698 39809278 54859127 60199396 79618556 109718254 120398792 159237112 219436508 240797584 318474224 438873016 481595168 617043809 636948448 877746032 1234087618 1700632937 1755492064 2249224207 2468175236 3401265874 4498448414 4936350472 6802531748 8996896828 9872700944 13605063496 17993793656 19745401888 27210126992 35987587312 54420253984 69725950417 71975174624 139451900834 278903801668 557807603336 1115615206672 2231230413344