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222134640 = 243572131453
BaseRepresentation
bin11010011110110…
…00000101110000
3120110222121102220
431033120011300
5423331302030
634013041040
75335053600
oct1517300560
9513877386
10222134640
11104431052
1262486180
1337037220
1421704c00
151477ca10
hexd3d8170

222134640 has 240 divisors, whose sum is σ = 863257248. Its totient is φ = 46835712.

The previous prime is 222134617. The next prime is 222134651. The reversal of 222134640 is 46431222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222134640.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 152154 + ... + 153606.

Almost surely, 2222134640 is an apocalyptic number.

222134640 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 222134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431628624).

222134640 is an abundant number, since it is smaller than the sum of its proper divisors (641122608).

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

222134640 is a wasteful number, since it uses less digits than its factorization.

222134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 222134640 is about 14904.1819634625. The cubic root of 222134640 is about 605.6272800914.

Adding to 222134640 its reverse (46431222), we get a palindrome (268565862).

The spelling of 222134640 in words is "two hundred twenty-two million, one hundred thirty-four thousand, six hundred forty".