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22211304120 = 2332573845179
BaseRepresentation
bin10100101011111001…
…011001101010111000
32010022221111011020100
4110223321121222320
5330442043212440
614112001155400
71414262653455
oct245371315270
963287434210
1022211304120
11946877a595
12437a62bb60
13212c866605
141109c6682c
1589ee6c230
hex52be59ab8

22211304120 has 96 divisors (see below), whose sum is σ = 73175684400. Its totient is φ = 5841870336.

The previous prime is 22211304097. The next prime is 22211304121. The reversal of 22211304120 is 2140311222.

It is a happy number.

22211304120 is a `hidden beast` number, since 2 + 221 + 1 + 30 + 412 + 0 = 666.

It is a super-2 number, since 2×222113041202 (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 = 22211304093 and 22211304102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211304121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396310 + ... + 448869.

Almost surely, 222211304120 is an apocalyptic number.

22211304120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211304120 is an abundant number, since it is smaller than the sum of its proper divisors (50964380280).

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

22211304120 is a wasteful number, since it uses less digits than its factorization.

22211304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845269 (or 845262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22211304120 its reverse (2140311222), we get a palindrome (24351615342).

The spelling of 22211304120 in words is "twenty-two billion, two hundred eleven million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 845179 1690358 2535537 3380716 4225895 5071074 6761432 7606611 8451790 10142148 12677685 15213222 16903580 20284296 25355370 30426444 33807160 38033055 50710740 60852888 61698067 76066110 101421480 123396134 152132220 185094201 246792268 304264440 308490335 370188402 493584536 555282603 616980670 740376804 925471005 1110565206 1233961340 1480753608 1850942010 2221130412 2467922680 2776413015 3701884020 4442260824 5552826030 7403768040 11105652060 22211304120