Search a number
-
+
220222001008 = 241912731118341
BaseRepresentation
bin1100110100011001000…
…0010000111101110000
3210001102122112202212201
43031012100100331300
512102003313013013
6245100225432544
721624210060112
oct3150620207560
9701378482781
10220222001008
118543963a929
123681ba9b754
13179c79b5249
14a931a753b2
155add9433dd
hex3346410f70

220222001008 has 80 divisors (see below), whose sum is σ = 454153789440. Its totient is φ = 103155897600.

The previous prime is 220222001003. The next prime is 220222001017. The reversal of 220222001008 is 800100222022.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220222001003) 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, 11997918 + ... + 12016258.

It is an arithmetic number, because the mean of its divisors is an integer number (5676922368).

Almost surely, 2220222001008 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 220222001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227076894720).

220222001008 is an abundant number, since it is smaller than the sum of its proper divisors (233931788432).

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

220222001008 is a wasteful number, since it uses less digits than its factorization.

220222001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18806 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The spelling of 220222001008 in words is "two hundred twenty billion, two hundred twenty-two million, one thousand, eight".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 311 508 622 1016 1244 2032 2413 2488 4826 4976 5909 9652 11818 18341 19304 23636 36682 38608 39497 47272 73364 78994 94544 146728 157988 293456 315976 348479 631952 696958 750443 1393916 1500886 2329307 2787832 3001772 4658614 5575664 5704051 6003544 9317228 11408102 12007088 18634456 22816204 37268912 44256833 45632408 88513666 91264816 108376969 177027332 216753938 354054664 433507876 708109328 724414477 867015752 1448828954 1734031504 2897657908 5795315816 11590631632 13763875063 27527750126 55055500252 110111000504 220222001008