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222341420 = 225721911941
BaseRepresentation
bin11010100000010…
…10100100101100
3120111101010002102
431100022210230
5423404411140
634021314232
75336604500
oct1520124454
9514333072
10222341420
11104562444
1262565978
13370aa392
142175a300
15147bde15
hexd40a92c

222341420 has 72 divisors (see below), whose sum is σ = 571782960. Its totient is φ = 72213120.

The previous prime is 222341417. The next prime is 222341423. The reversal of 222341420 is 24143222.

It is an interprime number because it is at equal distance from previous prime (222341417) and next prime (222341423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222341392 and 222341401.

It is not an unprimeable number, because it can be changed into a prime (222341423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12650 + ... + 24590.

It is an arithmetic number, because the mean of its divisors is an integer number (7941430).

Almost surely, 2222341420 is an apocalyptic number.

222341420 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 222341420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285891480).

222341420 is an abundant number, since it is smaller than the sum of its proper divisors (349441540).

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

222341420 is a wasteful number, since it uses less digits than its factorization.

222341420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 222341420 is about 14911.1173290267. The cubic root of 222341420 is about 605.8151432881.

Adding to 222341420 its reverse (24143222), we get a palindrome (246484642).

The spelling of 222341420 in words is "two hundred twenty-two million, three hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 11941 18620 23882 47764 59705 83587 119410 167174 226879 238820 334348 417935 453758 585109 835870 907516 1134395 1170218 1588153 1671740 2268790 2340436 2925545 3176306 4537580 5851090 6352612 7940765 11117071 11702180 15881530 22234142 31763060 44468284 55585355 111170710 222341420