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223221312340 = 225138211045729
BaseRepresentation
bin1100111111100100000…
…1101110101101010100
3210100011200021120112121
43033321001232231110
512124124123443330
6250314011225324
722061426564035
oct3177101565524
9710150246477
10223221312340
118673867a924
1237318448244
13180851b8190
14ab3813ca8c
155c16ded17a
hex33f906eb54

223221312340 has 48 divisors (see below), whose sum is σ = 505438955280. Its totient is φ = 82319708160.

The previous prime is 223221312311. The next prime is 223221312341. The reversal of 223221312340 is 43213122322.

It can be written as a sum of positive squares in 8 ways, for example, as 878885316 + 222342427024 = 29646^2 + 471532^2 .

It is a super-3 number, since 3×2232213123403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223221312341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309405 + ... + 736324.

It is an arithmetic number, because the mean of its divisors is an integer number (10529978235).

Almost surely, 2223221312340 is an apocalyptic number.

223221312340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223221312340 is an abundant number, since it is smaller than the sum of its proper divisors (282217642940).

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

223221312340 is a wasteful number, since it uses less digits than its factorization.

223221312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046572 (or 1046570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223221312340 its reverse (43213122322), we get a palindrome (266434434662).

The spelling of 223221312340 in words is "two hundred twenty-three billion, two hundred twenty-one million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 821 1642 3284 4105 8210 10673 16420 21346 42692 53365 106730 213460 1045729 2091458 4182916 5228645 10457290 13594477 20914580 27188954 54377908 67972385 135944770 271889540 858543509 1717087018 3434174036 4292717545 8585435090 11161065617 17170870180 22322131234 44644262468 55805328085 111610656170 223221312340