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22030440120 = 23325134707359
BaseRepresentation
bin10100100001000111…
…011101011010111000
32002212100011022110200
4110201013131122320
5330104243040440
614042020442200
71406635436253
oct244107353270
962770138420
1022030440120
119385677807
124329b49360
13210124c3b0
1410cdc2609a
1588e142c30
hex5211dd6b8

22030440120 has 96 divisors (see below), whose sum is σ = 77106556800. Its totient is φ = 5422876416.

The previous prime is 22030440109. The next prime is 22030440161. The reversal of 22030440120 is 2104403022.

22030440120 is a `hidden beast` number, since 2 + 203 + 0 + 440 + 1 + 20 = 666.

It is a super-2 number, since 2×220304401202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22030440093 and 22030440102.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2349000 + ... + 2358359.

It is an arithmetic number, because the mean of its divisors is an integer number (803193300).

Almost surely, 222030440120 is an apocalyptic number.

22030440120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22030440120 is an abundant number, since it is smaller than the sum of its proper divisors (55076116680).

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

22030440120 is a wasteful number, since it uses less digits than its factorization.

22030440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707389 (or 4707382 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22030440120 its reverse (2104403022), we get a palindrome (24134843142).

The spelling of 22030440120 in words is "twenty-two billion, thirty million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4707359 9414718 14122077 18829436 23536795 28244154 37658872 42366231 47073590 56488308 61195667 70610385 84732462 94147180 112976616 122391334 141220770 169464924 183587001 188294360 211831155 244782668 282441540 305978335 338929848 367174002 423662310 489565336 550761003 564883080 611956670 734348004 847324620 917935005 1101522006 1223913340 1468696008 1694649240 1835870010 2203044012 2447826680 2753805015 3671740020 4406088024 5507610030 7343480040 11015220060 22030440120