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1222310010222 = 232797920310867
BaseRepresentation
bin10001110010010111010…
…110101001110101101110
311022211222212221001112100
4101302113112221311232
5130011242330311342
62333304345315530
7154210660442430
oct21622726516556
94284885831470
101222310010222
11431419153a74
12178a85195ba6
138b356730ba2
1443235526650
1521bdd653e4c
hex11c975a9d6e

1222310010222 has 96 divisors (see below), whose sum is σ = 3058488905472. Its totient is φ = 345561748992.

The previous prime is 1222310010191. The next prime is 1222310010227. The reversal of 1222310010222 is 2220100132221.

1222310010222 is a `hidden beast` number, since 122 + 2 + 310 + 0 + 10 + 222 = 666.

It is a super-2 number, since 2×12223100102222 (a number of 25 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 = 1222310010195 and 1222310010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222310010227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112473633 + ... + 112484499.

It is an arithmetic number, because the mean of its divisors is an integer number (31859259432).

Almost surely, 21222310010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222310010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529244452736).

1222310010222 is an abundant number, since it is smaller than the sum of its proper divisors (1836178895250).

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

1222310010222 is a wasteful number, since it uses less digits than its factorization.

1222310010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20182 (or 20179 counting only the distinct ones).

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

Adding to 1222310010222 its reverse (2220100132221), we get a palindrome (3442410142443).

The spelling of 1222310010222 in words is "one trillion, two hundred twenty-two billion, three hundred ten million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 9203 10867 12222 18406 21734 27609 32601 55218 64421 65202 76069 82827 97803 128842 152138 165654 193263 195606 228207 386526 456414 579789 684621 892691 1054099 1159578 1369242 1785382 2108198 2678073 3162297 5356146 6248837 6324594 7378693 8034219 9486891 12497674 14757386 16068438 18746511 18973782 22136079 37493022 44272158 56239533 66408237 100009001 112479066 132816474 200018002 300027003 600054006 700063007 900081009 1400126014 1800162018 2100189021 4200378042 6300567063 9700873097 12601134126 19401746194 29102619291 58205238582 67906111679 87307857873 135812223358 174615715746 203718335037 407436670074 611155005111 1222310010222