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22441112344 = 23717191279769
BaseRepresentation
bin10100111001100110…
…000011001100011000
32010220221220121212001
4110321212003030120
5331424411043334
614150450530344
71423053210340
oct247146031430
963827817761
1022441112344
119576471942
1244235969b4
132168359501
14112c5a7d20
158b5213714
hex539983318

22441112344 has 128 divisors (see below), whose sum is σ = 54024192000. Its totient is φ = 8507068416.

The previous prime is 22441112341. The next prime is 22441112347. The reversal of 22441112344 is 44321114422.

It is an interprime number because it is at equal distance from previous prime (22441112341) and next prime (22441112347).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22441112341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292292 + ... + 2302060.

It is an arithmetic number, because the mean of its divisors is an integer number (422064000).

Almost surely, 222441112344 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 22441112344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012096000).

22441112344 is an abundant number, since it is smaller than the sum of its proper divisors (31583079656).

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

22441112344 is a wasteful number, since it uses less digits than its factorization.

22441112344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9941 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 22441112344 its reverse (44321114422), we get a palindrome (66762226766).

The spelling of 22441112344 in words is "twenty-two billion, four hundred forty-one million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 127 133 136 152 238 254 266 323 476 508 532 646 889 952 1016 1064 1292 1778 2159 2261 2413 2584 3556 4318 4522 4826 7112 8636 9044 9652 9769 15113 16891 17272 18088 19304 19538 30226 33782 39076 41021 60452 67564 68383 78152 82042 120904 135128 136766 164084 166073 185611 273532 287147 328168 332146 371222 547064 574294 664292 742444 1148588 1162511 1240663 1299277 1328584 1484888 2297176 2325022 2481326 2598554 3155387 4650044 4962652 5197108 6310774 8684641 9300088 9925304 10394216 12621548 17369282 21091271 22087709 23572597 25243096 34738564 42182542 44175418 47145194 69477128 84365084 88350836 94290388 147638897 165008179 168730168 176701672 188580776 295277794 330016358 400734149 590555588 660032716 801468298 1181111176 1320065432 1602936596 2805139043 3205873192 5610278086 11220556172 22441112344