Search a number
-
+
22201022200120 = 2351758795553421
BaseRepresentation
bin1010000110001000101000…
…00010101011100100111000
32220121101201102001012001221
411003010110002223210320
510402220143140400440
6115115001522321424
74450654012026151
oct503042402534470
986541642035057
1022201022200120
11708a445286105
1225a68594b9274
13c507168780ca
1456a76c878928
15287775e01d4a
hex1431140ab938

22201022200120 has 64 divisors (see below), whose sum is σ = 52899676603200. Its totient is φ = 8356608706560.

The previous prime is 22201022200031. The next prime is 22201022200121. The reversal of 22201022200120 is 2100222010222.

It is a junction number, because it is equal to n+sod(n) for n = 22201022200094 and 22201022200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201022200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1221010 + ... + 6774430.

It is an arithmetic number, because the mean of its divisors is an integer number (826557446925).

Almost surely, 222201022200120 is an apocalyptic number.

22201022200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201022200120 is an abundant number, since it is smaller than the sum of its proper divisors (30698654403080).

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

22201022200120 is a wasteful number, since it uses less digits than its factorization.

22201022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559328 (or 5559324 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22201022200120 its reverse (2100222010222), we get a palindrome (24301244210342).

The spelling of 22201022200120 in words is "twenty-two trillion, two hundred one billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 5879 11758 23516 29395 47032 58790 99943 117580 199886 235160 399772 499715 799544 999430 1998860 3997720 5553421 11106842 22213684 27767105 44427368 55534210 94408157 111068420 188816314 222136840 377632628 472040785 755265256 944081570 1888163140 3776326280 32648562059 65297124118 130594248236 163242810295 261188496472 326485620590 555025555003 652971241180 1110051110006 1305942482360 2220102220012 2775127775015 4440204440024 5550255550030 11100511100060 22201022200120