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222034144 = 2517616691
BaseRepresentation
bin11010011101111…
…11100011100000
3120110210111120211
431032333203200
5423320043034
634010543504
75334154603
oct1516774340
9513714524
10222034144
111043725a2
1262437b94
1337000567
14216ba33a
151475cd64
hexd3bf8e0

222034144 has 48 divisors (see below), whose sum is σ = 470501136. Its totient is φ = 102758400.

The previous prime is 222034129. The next prime is 222034177. The reversal of 222034144 is 441430222.

It is a happy number.

It is a super-2 number, since 2×2220341442 = 98598322203625472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29839 + ... + 36529.

It is an arithmetic number, because the mean of its divisors is an integer number (9802107).

Almost surely, 2222034144 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 222034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235250568).

222034144 is an abundant number, since it is smaller than the sum of its proper divisors (248466992).

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

222034144 is a wasteful number, since it uses less digits than its factorization.

222034144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 222034144 is about 14900.8101793158. The cubic root of 222034144 is about 605.5359356410.

Adding to 222034144 its reverse (441430222), we get a palindrome (663464366).

The spelling of 222034144 in words is "two hundred twenty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 244 272 488 544 976 1037 1952 2074 4148 6691 8296 13382 16592 26764 33184 53528 107056 113747 214112 227494 408151 454988 816302 909976 1632604 1819952 3265208 3639904 6530416 6938567 13060832 13877134 27754268 55508536 111017072 222034144