Search a number
-
+
222466084656 = 24371333119597
BaseRepresentation
bin1100111100110000000…
…0110000111100110000
3210021020001012000220220
43033030000300330300
512121102304202111
6250111032133040
722033626343044
oct3171400607460
9707201160826
10222466084656
118639033a112
1237147537180
1317c948b00aa
14aaa5b0a024
155bc096be06
hex33cc030f30

222466084656 has 80 divisors (see below), whose sum is σ = 583003185408. Its totient is φ = 73085241600.

The previous prime is 222466084651. The next prime is 222466084663. The reversal of 222466084656 is 656480664222.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 222466084599 and 222466084608.

It is not an unprimeable number, because it can be changed into a prime (222466084651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11342250 + ... + 11361846.

Almost surely, 2222466084656 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 222466084656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291501592704).

222466084656 is an abundant number, since it is smaller than the sum of its proper divisors (360537100752).

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

222466084656 is a wasteful number, since it uses less digits than its factorization.

222466084656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23010 (or 23004 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 222466084656 in words is "two hundred twenty-two billion, four hundred sixty-six million, eighty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3331 3408 6662 9993 13324 19597 19986 26648 39194 39972 53296 58791 78388 79944 117582 156776 159888 235164 236501 313552 470328 473002 709503 940656 946004 1391387 1419006 1892008 2782774 2838012 3784016 4174161 5565548 5676024 8348322 11131096 11352048 16696644 22262192 33393288 65277607 66786576 130555214 195832821 261110428 391665642 522220856 783331284 1044441712 1566662568 3133325136 4634710097 9269420194 13904130291 18538840388 27808260582 37077680776 55616521164 74155361552 111233042328 222466084656