Search a number
-
+
222220021320 = 2333511174147571
BaseRepresentation
bin1100111011110101011…
…0000110111001001000
3210020120220011201111000
43032331112012321020
512120101311140240
6250030402135000
722024551005163
oct3167526067110
9706526151430
10222220021320
1186274455090
1237099051460
1317c5591849b
14aa81176ada
155ba9064430
hex33bd586e48

222220021320 has 1024 divisors, whose sum is σ = 896690995200. Its totient is φ = 48328704000.

The previous prime is 222220021291. The next prime is 222220021349. The reversal of 222220021320 is 23120022222.

It is an interprime number because it is at equal distance from previous prime (222220021291) and next prime (222220021349).

It is a super-2 number, since 2×2222200213202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222220021293 and 222220021302.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 389176635 + ... + 389177205.

It is an arithmetic number, because the mean of its divisors is an integer number (875674800).

Almost surely, 2222220021320 is an apocalyptic number.

222220021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222220021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448345497600).

222220021320 is an abundant number, since it is smaller than the sum of its proper divisors (674470973880).

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

222220021320 is a wasteful number, since it uses less digits than its factorization.

222220021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222220021320 its reverse (23120022222), we get a palindrome (245340043542).

The spelling of 222220021320 in words is "two hundred twenty-two billion, two hundred twenty million, twenty-one thousand, three hundred twenty".