Search a number
-
+
10222020220020 = 22357172235237001
BaseRepresentation
bin1001010010111111111111…
…1000100101010001110100
31100012012211011110000110020
42110233333320211101310
52314434144134020040
633423533052525140
72103342122153430
oct224577770452164
940165734400406
1010222020220020
113291152a21464
121191119a807b0
13591c17558c8b
14274a699359c0
1512ad7168bcd0
hex94bffe25474

10222020220020 has 576 divisors, whose sum is σ = 36333085372416. Its totient is φ = 2099091456000.

The previous prime is 10222020220001. The next prime is 10222020220051. The reversal of 10222020220020 is 2002202022201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1460076520 + ... + 1460083520.

It is an arithmetic number, because the mean of its divisors is an integer number (63078273216).

Almost surely, 210222020220020 is an apocalyptic number.

10222020220020 is a gapful number since it is divisible by the number (10) 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 10222020220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166542686208).

10222020220020 is an abundant number, since it is smaller than the sum of its proper divisors (26111065152396).

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

10222020220020 is a wasteful number, since it uses less digits than its factorization.

10222020220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10222020220020 its reverse (2002202022201), we get a palindrome (12224222242221).

The spelling of 10222020220020 in words is "ten trillion, two hundred twenty-two billion, twenty million, two hundred twenty thousand, twenty".