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10222022322 = 232567890129
BaseRepresentation
bin10011000010100011…
…11010111010110010
3222101101112112111100
421201101322322302
5131413314203242
64410153225230
7511211520231
oct114121727262
928341475440
1010222022322
114376079736
121b93402216
13c6b9b5525
146cd838b18
153ec61754c
hex26147aeb2

10222022322 has 12 divisors (see below), whose sum is σ = 22147715070. Its totient is φ = 3407340768.

The previous prime is 10222022311. The next prime is 10222022351. The reversal of 10222022322 is 22322022201.

10222022322 is a `hidden beast` number, since 102 + 220 + 22 + 322 = 666.

10222022322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10213325721 + 8696601 = 101061^2 + 2949^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 567890129 = 10222022322 / (1 + 0 + 2 + 2 + 2 + 0 + 2 + 2 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 10222022295 and 10222022304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283945047 + ... + 283945082.

Almost surely, 210222022322 is an apocalyptic number.

10222022322 is an abundant number, since it is smaller than the sum of its proper divisors (11925692748).

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

10222022322 is a wasteful number, since it uses less digits than its factorization.

10222022322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567890137 (or 567890134 counting only the distinct ones).

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

Adding to 10222022322 its reverse (22322022201), we get a palindrome (32544044523).

The spelling of 10222022322 in words is "ten billion, two hundred twenty-two million, twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 567890129 1135780258 1703670387 3407340774 5111011161 10222022322