Search a number
-
+
212221120320 = 26325116698899
BaseRepresentation
bin1100010110100101011…
…1010100111101000000
3202021210001110220220100
43011221113110331000
511434112101322240
6241254255042400
721222015521256
oct3055127247500
9667701426810
10212221120320
1182003320840
1235168510400
1317021224311
14a3b321c5d6
1557c1321e30
hex31695d4f40

212221120320 has 168 divisors, whose sum is σ = 796311640800. Its totient is φ = 51447536640.

The previous prime is 212221120303. The next prime is 212221120357. The reversal of 212221120320 is 23021122212.

212221120320 is a `hidden beast` number, since 2 + 1 + 2 + 221 + 120 + 320 = 666.

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 = 212221120293 and 212221120302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3317770 + ... + 3381129.

Almost surely, 2212221120320 is an apocalyptic number.

212221120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221120320 is an abundant number, since it is smaller than the sum of its proper divisors (584090520480).

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

212221120320 is a wasteful number, since it uses less digits than its factorization.

212221120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698933 (or 6698920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212221120320 its reverse (23021122212), we get a palindrome (235242242532).

The spelling of 212221120320 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, three hundred twenty".