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221312234112 = 273576333943
BaseRepresentation
bin1100111000011100111…
…1001011001010000000
3210011020122000100112120
43032013033023022000
512111221412442422
6245400333124240
721663215644224
oct3160717131200
9704218010476
10221312234112
1185948a94122
1236a85029680
1317b3c8264a8
14a9d6790784
155b544ea45c
hex33873cb280

221312234112 has 32 divisors (see below), whose sum is σ = 587860622880. Its totient is φ = 73770744576.

The previous prime is 221312234069. The next prime is 221312234119. The reversal of 221312234112 is 211432213122.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221312234119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288166588 + ... + 288167355.

It is an arithmetic number, because the mean of its divisors is an integer number (18370644465).

Almost surely, 2221312234112 is an apocalyptic number.

It is an amenable number.

221312234112 is an abundant number, since it is smaller than the sum of its proper divisors (366548388768).

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

221312234112 is an equidigital number, since it uses as much as digits as its factorization.

221312234112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576333960 (or 576333948 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 221312234112 its reverse (211432213122), we get a palindrome (432744447234).

The spelling of 221312234112 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 576333943 1152667886 1729001829 2305335772 3458003658 4610671544 6916007316 9221343088 13832014632 18442686176 27664029264 36885372352 55328058528 73770744704 110656117056 221312234112