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222024240330 = 23553241157917
BaseRepresentation
bin1100111011000110101…
…1010000110011001010
3210020002020210000110020
43032301223100303022
512114201201142310
6245555130001310
722016652622134
oct3166153206312
9706066700406
10222024240330
1186183993a12
1237043576236
1317c241aa649
14aa63172054
155b96c90170
hex33b1ad0cca

222024240330 has 64 divisors (see below), whose sum is σ = 543146663808. Its totient is φ = 58064264960.

The previous prime is 222024240311. The next prime is 222024240349. The reversal of 222024240330 is 33042420222.

It is a happy number.

222024240330 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 (222024240311) and next prime (222024240349).

It is a super-2 number, since 2×2220242403302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222024240330.

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 31 ways as a sum of consecutive naturals, for example, 3804532 + ... + 3862448.

It is an arithmetic number, because the mean of its divisors is an integer number (8486666622).

Almost surely, 2222024240330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222024240330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271573331904).

222024240330 is an abundant number, since it is smaller than the sum of its proper divisors (321122423478).

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

222024240330 is a wasteful number, since it uses less digits than its factorization.

222024240330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60391.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 222024240330 its reverse (33042420222), we get a palindrome (255066660552).

The spelling of 222024240330 in words is "two hundred twenty-two billion, twenty-four million, two hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 2411 4822 7233 12055 14466 24110 36165 57917 72330 115834 127783 173751 255566 289585 347502 383349 579170 638915 766698 868755 1277830 1737510 1916745 3069601 3833490 6139202 9208803 15348005 18417606 30696010 46044015 92088030 139637887 279275774 418913661 698189435 837827322 1396378870 2094568305 4189136610 7400808011 14801616022 22202424033 37004040055 44404848066 74008080110 111012120165 222024240330