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22212303120 = 2432574407203
BaseRepresentation
bin10100101011111101…
…001101100100010000
32010100000100220121100
4110223331031210100
5330442322144440
614112034424400
71414304314140
oct245375154420
963300326540
1022212303120
1194692a2107
12437aa32100
13212cb26237
14110a046920
158a00b8230
hex52bf4d910

22212303120 has 120 divisors (see below), whose sum is σ = 85252954176. Its totient is φ = 5077096704.

The previous prime is 22212303119. The next prime is 22212303133. The reversal of 22212303120 is 2130321222.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 22212303093 and 22212303102.

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, 2198562 + ... + 2208641.

Almost surely, 222212303120 is an apocalyptic number.

22212303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22212303120 is an abundant number, since it is smaller than the sum of its proper divisors (63040651056).

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

22212303120 is a wasteful number, since it uses less digits than its factorization.

22212303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407229 (or 4407220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22212303120 its reverse (2130321222), we get a palindrome (24342624342).

The spelling of 22212303120 in words is "twenty-two billion, two hundred twelve million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4407203 8814406 13221609 17628812 22036015 26443218 30850421 35257624 39664827 44072030 52886436 61700842 66108045 70515248 79329654 88144060 92551263 105772872 123401684 132216090 154252105 158659308 176288120 185102526 198324135 211545744 246803368 264432180 277653789 308504210 317318616 352576240 370205052 396648270 462756315 493606736 528864360 555307578 617008420 634637232 740410104 793296540 925512630 1057728720 1110615156 1234016840 1388268945 1480820208 1586593080 1851025260 2221230312 2468033680 2776537890 3173186160 3702050520 4442460624 5553075780 7404101040 11106151560 22212303120