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222000420 = 223519918593
BaseRepresentation
bin11010011101101…
…11010100100100
3120110201210022210
431032313110210
5423313003140
634010123420
75333654355
oct1516672444
9513653283
10222000420
1110434a224
1262420570
1336cbb0c5
14216abd2c
1514752d80
hexd3b7524

222000420 has 48 divisors (see below), whose sum is σ = 624758400. Its totient is φ = 58899456.

The previous prime is 222000379. The next prime is 222000431. The reversal of 222000420 is 24000222.

It is a happy number.

222000420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2220004203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 222000396 and 222000405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2644 + ... + 21236.

It is an arithmetic number, because the mean of its divisors is an integer number (13015800).

Almost surely, 2222000420 is an apocalyptic number.

222000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222000420 is an abundant number, since it is smaller than the sum of its proper divisors (402757980).

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

222000420 is a wasteful number, since it uses less digits than its factorization.

222000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18804 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 222000420 is about 14899.6785200218. The cubic root of 222000420 is about 605.5052765008.

Adding to 222000420 its reverse (24000222), we get a palindrome (246000642).

The spelling of 222000420 in words is "two hundred twenty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1990 2388 2985 3980 5970 11940 18593 37186 55779 74372 92965 111558 185930 223116 278895 371860 557790 1115580 3700007 7400014 11100021 14800028 18500035 22200042 37000070 44400084 55500105 74000140 111000210 222000420