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12202202322 = 232472397773
BaseRepresentation
bin10110101110100111…
…01101010011010010
31011111101121002210100
423113103231103102
5144442230433242
65334451313230
7611245002612
oct132723552322
934441532710
1012202202322
1151a1909232
1224465ab816
1311c601037b
1483a814a42
154b63b254c
hex2d74ed4d2

12202202322 has 72 divisors (see below), whose sum is σ = 27115661196. Its totient is φ = 3965696064.

The previous prime is 12202202297. The next prime is 12202202329. The reversal of 12202202322 is 22320220221.

12202202322 is a `hidden beast` number, since 122 + 0 + 220 + 2 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11818081521 + 384120801 = 108711^2 + 19599^2 .

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 = 12202202295 and 12202202304.

It is not an unprimeable number, because it can be changed into a prime (12202202329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15785128 + ... + 15785900.

Almost surely, 212202202322 is an apocalyptic number.

12202202322 is an abundant number, since it is smaller than the sum of its proper divisors (14913458874).

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

12202202322 is a wasteful number, since it uses less digits than its factorization.

12202202322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1222 counting only the distinct ones).

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

Adding to 12202202322 its reverse (22320220221), we get a palindrome (34522422543).

The spelling of 12202202322 in words is "twelve billion, two hundred two million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 397 423 773 794 846 1191 1546 2209 2319 2382 3573 4418 4638 6627 6957 7146 13254 13914 18659 19881 36331 37318 39762 55977 72662 108993 111954 167931 217986 306881 326979 335862 613762 653958 876973 920643 1707557 1753946 1841286 2630919 2761929 3415114 5122671 5261838 5523858 7892757 10245342 14423407 15368013 15785514 28846814 30736026 43270221 86540442 129810663 259621326 677900129 1355800258 2033700387 4067400774 6101101161 12202202322