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22312301220 = 223251111268839
BaseRepresentation
bin10100110001111010…
…101011001010100100
32010120222112100012200
4110301322223022210
5331143422114340
614130010014500
71416630300606
oct246172531244
963528470180
1022312301220
11950a792170
1243a8417430
132147768c01
141119437176
158a8c6c330
hex531eab2a4

22312301220 has 72 divisors (see below), whose sum is σ = 73833439680. Its totient is φ = 5409042240.

The previous prime is 22312301203. The next prime is 22312301227. The reversal of 22312301220 is 2210321322.

It is a super-3 number, since 3×223123012203 (a number of 32 digits) contains 333 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 = 22312301193 and 22312301202.

It is not an unprimeable number, because it can be changed into a prime (22312301227) 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 23 ways as a sum of consecutive naturals, for example, 5632440 + ... + 5636399.

It is an arithmetic number, because the mean of its divisors is an integer number (1025464440).

Almost surely, 222312301220 is an apocalyptic number.

22312301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312301220 is an abundant number, since it is smaller than the sum of its proper divisors (51521138460).

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

22312301220 is a wasteful number, since it uses less digits than its factorization.

22312301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268865 (or 11268860 counting only the distinct ones).

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

Adding to 22312301220 its reverse (2210321322), we get a palindrome (24522622542).

The spelling of 22312301220 in words is "twenty-two billion, three hundred twelve million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11268839 22537678 33806517 45075356 56344195 67613034 101419551 112688390 123957229 135226068 169032585 202839102 225376780 247914458 338065170 371871687 405678204 495828916 507097755 619786145 676130340 743743374 1014195510 1115615061 1239572290 1487486748 1859358435 2028391020 2231230122 2479144580 3718716870 4462460244 5578075305 7437433740 11156150610 22312301220