Search a number
-
+
222180764344 = 23711240181769
BaseRepresentation
bin1100111011101100000…
…0010110101010111000
3210020111011022021000221
43032323000112222320
512120011233424334
6250022440505424
722023563223310
oct3167300265270
9706434267027
10222180764344
1186254281800
1237087a7b274
1317c4a751bc6
14aa79c78440
155ba58ac8b4
hex33bb016ab8

222180764344 has 96 divisors (see below), whose sum is σ = 524629778400. Its totient is φ = 86347008000.

The previous prime is 222180764321. The next prime is 222180764363. The reversal of 222180764344 is 443467081222.

It is a happy number.

222180764344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 222180764344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676292 + ... + 2758060.

It is an arithmetic number, because the mean of its divisors is an integer number (5464893525).

Almost surely, 2222180764344 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 222180764344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262314889200).

222180764344 is an abundant number, since it is smaller than the sum of its proper divisors (302449014056).

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

222180764344 is a wasteful number, since it uses less digits than its factorization.

222180764344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82205 (or 82190 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 222180764344 in words is "two hundred twenty-two billion, one hundred eighty million, seven hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 401 484 616 802 847 968 1604 1694 2807 3208 3388 4411 5614 6776 8822 11228 17644 22456 30877 35288 48521 61754 81769 97042 123508 163538 194084 247016 327076 339647 388168 572383 654152 679294 899459 1144766 1358588 1798918 2289532 2717176 3597836 4579064 6296213 7195672 9894049 12592426 19788098 25184852 32789369 39576196 50369704 65578738 69258343 79152392 131157476 138516686 229525583 262314952 277033372 360683059 459051166 554066744 721366118 918102332 1442732236 1836204664 2524781413 2885464472 3967513649 5049562826 7935027298 10099125652 15870054596 20198251304 27772595543 31740109192 55545191086 111090382172 222180764344