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221440241022 = 237111349437459
BaseRepresentation
bin1100111000111011011…
…1011110110101111110
3210011120112212210000020
43032032313132311332
512112002200203042
6245421144513010
721666331664220
oct3161667366576
9704515783006
10221440241022
1185a04274660
1236abba7b766
1317b601c4a20
14aa09792410
155b608833ec
hex338edded7e

221440241022 has 128 divisors (see below), whose sum is σ = 594836766720. Its totient is φ = 53074707840.

The previous prime is 221440240961. The next prime is 221440241039. The reversal of 221440241022 is 220142044122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221440240983 and 221440241001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29683929 + ... + 29691387.

It is an arithmetic number, because the mean of its divisors is an integer number (4647162240).

Almost surely, 2221440241022 is an apocalyptic number.

221440241022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221440241022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297418383360).

221440241022 is an abundant number, since it is smaller than the sum of its proper divisors (373396525698).

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

221440241022 is a wasteful number, since it uses less digits than its factorization.

221440241022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12438.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221440241022 its reverse (220142044122), we get a palindrome (441582285144).

The spelling of 221440241022 in words is "two hundred twenty-one billion, four hundred forty million, two hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4943 6006 7459 9886 14829 14918 22377 29658 34601 44754 52213 54373 64259 69202 82049 96967 103803 104426 108746 128518 156639 163119 164098 192777 193934 207606 246147 290901 313278 326238 380611 385554 449813 492294 574343 581802 678769 706849 761222 899626 1066637 1141833 1148686 1349439 1357538 1413698 1723029 2036307 2120547 2133274 2283666 2698878 3199911 3446058 4072614 4241094 4947943 6399822 7466459 9895886 14843829 14932918 22399377 29687658 36869837 44798754 73739674 110609511 221219022 258088859 405568207 479307881 516177718 774266577 811136414 958615762 1216704621 1437923643 1548533154 2433409242 2838977449 2875847286 3355155167 5272386691 5677954898 6710310334 8516932347 10065465501 10544773382 15817160073 17033864694 20130931002 31634320146 36906706837 73813413674 110720120511 221440241022