Search a number
-
+
222214214144 = 291371470219
BaseRepresentation
bin1100111011110011111…
…1111101001000000000
3210020120111020200112102
43032330333331020000
512120043314323034
6250030033445532
722024450440506
oct3167477751000
9706514220472
10222214214144
118627114906a
12370971108a8
1317c546641a0
14aa804a4676
155ba87b897e
hex33bcffd200

222214214144 has 80 divisors (see below), whose sum is σ = 484883340480. Its totient is φ = 101115678720.

The previous prime is 222214214099. The next prime is 222214214153. The reversal of 222214214144 is 441412412222.

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

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, 237467 + ... + 707685.

It is an arithmetic number, because the mean of its divisors is an integer number (6061041756).

Almost surely, 2222214214144 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 222214214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242441670240).

222214214144 is an abundant number, since it is smaller than the sum of its proper divisors (262669126336).

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

222214214144 is an equidigital number, since it uses as much as digits as its factorization.

222214214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470321 (or 470305 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

Adding to 222214214144 its reverse (441412412222), we get a palindrome (663626626366).

The spelling of 222214214144 in words is "two hundred twenty-two billion, two hundred fourteen million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 256 284 416 512 568 832 923 1136 1664 1846 2272 3328 3692 4544 6656 7384 9088 14768 18176 29536 36352 59072 118144 236288 470219 472576 940438 1880876 3761752 6112847 7523504 12225694 15047008 24451388 30094016 33385549 48902776 60188032 66771098 97805552 120376064 133542196 195611104 240752128 267084392 391222208 434012137 534168784 782444416 868024274 1068337568 1564888832 1736048548 2136675136 3129777664 3472097096 4273350272 6944194192 8546700544 13888388384 17093401088 27776776768 55553553536 111107107072 222214214144