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10222220322 = 2324318317213
BaseRepresentation
bin10011000010100101…
…01011010000100010
3222101101220121002200
421201102223100202
5131413342022242
64410201354030
7511213303416
oct114122532042
928341817080
1010222220322
1143761a4476
121b93498916
13c6ba546a2
146cd88ad46
153ec65604c
hex2614ab422

10222220322 has 48 divisors (see below), whose sum is σ = 22678738368. Its totient is φ = 3325885920.

The previous prime is 10222220317. The next prime is 10222220341. The reversal of 10222220322 is 22302222201.

10222220322 is a `hidden beast` number, since 102 + 22 + 220 + 322 = 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 = 10222220295 and 10222220304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413588 + ... + 1420800.

It is an arithmetic number, because the mean of its divisors is an integer number (472473716).

Almost surely, 210222220322 is an apocalyptic number.

10222220322 is an abundant number, since it is smaller than the sum of its proper divisors (12456518046).

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

10222220322 is a wasteful number, since it uses less digits than its factorization.

10222220322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9095 (or 9092 counting only the distinct ones).

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

Adding to 10222220322 its reverse (22302222201), we get a palindrome (32524442523).

The spelling of 10222220322 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 1831 3662 5493 7213 10986 14426 16479 21639 32958 43278 64917 78733 129834 157466 236199 310159 472398 620318 708597 930477 1417194 1860954 2791431 5582862 13207003 26414006 39621009 79242018 118863027 237726054 567901129 1135802258 1703703387 3407406774 5111110161 10222220322