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222202420 = 225113121051
BaseRepresentation
bin11010011111010…
…00101000110100
3120111010001102021
431033220220310
5423340434140
634014322524
75335455316
oct1517505064
9514101367
10222202420
11104477a70
12624b9444
133705c02b
14217217b6
1514792b4a
hexd3e8a34

222202420 has 72 divisors (see below), whose sum is σ = 526496544. Its totient is φ = 78120000.

The previous prime is 222202403. The next prime is 222202483. The reversal of 222202420 is 24202222.

222202420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222202394 and 222202403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210895 + ... + 211945.

It is an arithmetic number, because the mean of its divisors is an integer number (7312452).

Almost surely, 2222202420 is an apocalyptic number.

222202420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263248272).

222202420 is an abundant number, since it is smaller than the sum of its proper divisors (304294124).

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

222202420 is a wasteful number, since it uses less digits than its factorization.

222202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 222202420 is about 14906.4556484766. The cubic root of 222202420 is about 605.6888722301.

Adding to 222202420 its reverse (24202222), we get a palindrome (246404642).

The spelling of 222202420 in words is "two hundred twenty-two million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 961 1051 1364 1705 1922 2102 3410 3844 4204 4805 5255 6820 9610 10510 10571 11561 19220 21020 21142 23122 32581 42284 46244 52855 57805 65162 105710 115610 130324 162905 211420 231220 325810 358391 651620 716782 1010011 1433564 1791955 2020022 3583910 4040044 5050055 7167820 10100110 11110121 20200220 22220242 44440484 55550605 111101210 222202420