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220234321344 = 2631277898241
BaseRepresentation
bin1100110100011011111…
…1010000110111000000
3210001110111201201012110
43031012333100313000
512102014441240334
6245101345455320
721624416562342
oct3150677206700
9701414651173
10220234321344
1185445595324
1236824041540
13179ca409c9b
14a933561292
155adea78ae9
hex3346fd0dc0

220234321344 has 56 divisors (see below), whose sum is σ = 583160264208. Its totient is φ = 73353871360.

The previous prime is 220234321319. The next prime is 220234321369. The reversal of 220234321344 is 443123432022.

220234321344 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 (220234321319) and next prime (220234321369).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203937 + ... + 694304.

Almost surely, 2220234321344 is an apocalyptic number.

220234321344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220234321344 is an abundant number, since it is smaller than the sum of its proper divisors (362925942864).

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

220234321344 is a wasteful number, since it uses less digits than its factorization.

220234321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899533 (or 899523 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 220234321344 its reverse (443123432022), we get a palindrome (663357753366).

The spelling of 220234321344 in words is "two hundred twenty billion, two hundred thirty-four million, three hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1277 2554 3831 5108 7662 10216 15324 20432 30648 40864 61296 81728 122592 245184 898241 1796482 2694723 3592964 5389446 7185928 10778892 14371856 21557784 28743712 43115568 57487424 86231136 172462272 1147053757 2294107514 3441161271 4588215028 6882322542 9176430056 13764645084 18352860112 27529290168 36705720224 55058580336 73411440448 110117160672 220234321344