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22201310144 = 2613611512897
BaseRepresentation
bin10100101011010011…
…010001101111000000
32010022020200102002002
4110223103101233000
5330432013411034
614111003043132
71414112010506
oct245323215700
963266612062
1022201310144
119463073a02
1243772104a8
13212a777710
1411087c4676
1589e145e7e
hex52b4d1bc0

22201310144 has 112 divisors (see below), whose sum is σ = 48558517056. Its totient is φ = 10008576000.

The previous prime is 22201310143. The next prime is 22201310189. The reversal of 22201310144 is 44101310222.

It is a super-2 number, since 2×222013101442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201310143) 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, 7662104 + ... + 7665000.

It is an arithmetic number, because the mean of its divisors is an integer number (433558188).

Almost surely, 222201310144 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 22201310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24279258528).

22201310144 is an abundant number, since it is smaller than the sum of its proper divisors (26357206912).

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

22201310144 is a wasteful number, since it uses less digits than its factorization.

22201310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22201310144 its reverse (44101310222), we get a palindrome (66302620366).

The spelling of 22201310144 in words is "twenty-two billion, two hundred one million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 151 208 244 302 416 488 604 793 832 976 1208 1586 1952 1963 2416 2897 3172 3904 3926 4832 5794 6344 7852 9211 9664 11588 12688 15704 18422 23176 25376 31408 36844 37661 46352 50752 62816 73688 75322 92704 119743 125632 147376 150644 176717 185408 239486 294752 301288 353434 437447 478972 589504 602576 706868 874894 957944 1205152 1413736 1749788 1915888 2297321 2410304 2827472 3499576 3831776 4594642 5654944 5686811 6999152 7663552 9189284 11309888 11373622 13998304 18378568 22747244 26684267 27996608 36757136 45494488 53368534 73514272 90988976 106737068 147028544 181977952 213474136 346895471 363955904 426948272 693790942 853896544 1387581884 1707793088 2775163768 5550327536 11100655072 22201310144