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221042112 = 2636717183
BaseRepresentation
bin11010010110011…
…01010111000000
3120101221002202220
431023031113000
5423041321422
633533411040
75322553434
oct1513152700
9511832686
10221042112
11103855235
1262039a80
1336a43b65
14214dc9c4
1514613e5c
hexd2cd5c0

221042112 has 56 divisors (see below), whose sum is σ = 593604096. Its totient is φ = 72576768.

The previous prime is 221042093. The next prime is 221042113. The reversal of 221042112 is 211240122.

It is a junction number, because it is equal to n+sod(n) for n = 221042091 and 221042100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221042113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4273 + ... + 21455.

Almost surely, 2221042112 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 221042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296802048).

221042112 is an abundant number, since it is smaller than the sum of its proper divisors (372561984).

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

221042112 is a wasteful number, since it uses less digits than its factorization.

221042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17265 (or 17255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221042112 is about 14867.4850596865. The cubic root of 221042112 is about 604.6327593911.

Adding to 221042112 its reverse (211240122), we get a palindrome (432282234).

The spelling of 221042112 in words is "two hundred twenty-one million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 17183 34366 51549 68732 103098 137464 206196 274928 412392 549856 824784 1099712 1151261 1649568 2302522 3299136 3453783 4605044 6907566 9210088 13815132 18420176 27630264 36840352 55260528 73680704 110521056 221042112