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222507468 = 223271263331
BaseRepresentation
bin11010100001100…
…11000111001100
3120111200112212100
431100303013030
5423430214333
634025035100
75341165551
oct1520630714
9514615770
10222507468
11104666177
1262625a90
1337137b31
14217a0a28
1514803213
hexd4331cc

222507468 has 72 divisors (see below), whose sum is σ = 574269696. Its totient is φ = 72626400.

The previous prime is 222507457. The next prime is 222507473. The reversal of 222507468 is 864705222.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672063 + ... + 672393.

It is an arithmetic number, because the mean of its divisors is an integer number (7975968).

Almost surely, 2222507468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222507468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287134848).

222507468 is an abundant number, since it is smaller than the sum of its proper divisors (351762228).

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

222507468 is a wasteful number, since it uses less digits than its factorization.

222507468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 222507468 is about 14916.6842160046. The cubic root of 222507468 is about 605.9659164571.

The spelling of 222507468 in words is "two hundred twenty-two million, five hundred seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 263 284 331 426 526 639 662 789 852 993 1052 1278 1324 1578 1986 2367 2556 2979 3156 3972 4734 5958 9468 11916 18673 23501 37346 47002 56019 70503 74692 87053 94004 112038 141006 168057 174106 211509 224076 261159 282012 336114 348212 423018 522318 672228 783477 846036 1044636 1566954 3133908 6180763 12361526 18542289 24723052 37084578 55626867 74169156 111253734 222507468