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222200121216 = 2731678094283
BaseRepresentation
bin1100111011110000101…
…0001100011110000000
3210020112111201200200010
43032330022030132000
512120031212334331
6250024411424520
722024216603323
oct3167412143600
9706474650603
10222200121216
11862641a2917
1237092455140
1317c5176b688
14aa7c6767ba
155ba7432e46
hex33bc28c780

222200121216 has 128 divisors (see below), whose sum is σ = 594626054400. Its totient is φ = 73515020288.

The previous prime is 222200121167. The next prime is 222200121217. The reversal of 222200121216 is 612121002222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 222200121192 and 222200121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222200121217) 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 15 ways as a sum of consecutive naturals, for example, 51877411 + ... + 51881693.

It is an arithmetic number, because the mean of its divisors is an integer number (4645516050).

Almost surely, 2222200121216 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 222200121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297313027200).

222200121216 is an abundant number, since it is smaller than the sum of its proper divisors (372425933184).

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

222200121216 is a wasteful number, since it uses less digits than its factorization.

222200121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 222200121216 its reverse (612121002222), we get a palindrome (834321123438).

The spelling of 222200121216 in words is "two hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 809 1002 1336 1618 2004 2427 2672 3236 4008 4283 4854 5344 6472 8016 8566 9708 10688 12849 12944 16032 17132 19416 21376 25698 25888 32064 34264 38832 51396 51776 64128 68528 77664 102792 103552 135103 137056 155328 205584 270206 274112 310656 405309 411168 540412 548224 715261 810618 822336 1080824 1430522 1621236 1644672 2145783 2161648 2861044 3242472 3464947 4291566 4323296 5722088 6484944 6929894 8583132 8646592 10394841 11444176 12969888 13859788 17166264 17293184 20789682 22888352 25939776 27719576 34332528 41579364 45776704 51879552 55439152 68665056 83158728 91553408 110878304 137330112 166317456 221756608 274660224 332634912 443513216 578646149 665269824 1157292298 1330539648 1735938447 2314584596 3471876894 4629169192 6943753788 9258338384 13887507576 18516676768 27775015152 37033353536 55550030304 74066707072 111100060608 222200121216