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1022202112 = 28171931217
BaseRepresentation
bin111100111011011…
…001000100000000
32122020110020200111
4330323121010000
54043140431422
6245233201104
734221401041
oct7473310400
92566406614
101022202112
11485008638
12246400194
13133a11a29
1499a8a8c8
155eb19a77
hex3ced9100

1022202112 has 72 divisors (see below), whose sum is σ = 2173413816. Its totient is φ = 478150656.

The previous prime is 1022202067. The next prime is 1022202131. The reversal of 1022202112 is 2112022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101929216 + 920272896 = 10096^2 + 30336^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022202092 and 1022202101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 839328 + ... + 840544.

It is an arithmetic number, because the mean of its divisors is an integer number (30186303).

Almost surely, 21022202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086706908).

1022202112 is an abundant number, since it is smaller than the sum of its proper divisors (1151211704).

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

1022202112 is a wasteful number, since it uses less digits than its factorization.

1022202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022202112 is about 31971.8956585311. The cubic root of 1022202112 is about 1007.3465993071.

Adding to 1022202112 its reverse (2112022201), we get a palindrome (3134224313).

The spelling of 1022202112 in words is "one billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 193 256 272 386 544 772 1088 1217 1544 2176 2434 3088 3281 4352 4868 6176 6562 9736 12352 13124 19472 20689 24704 26248 38944 41378 49408 52496 77888 82756 104992 155776 165512 209984 234881 311552 331024 419968 469762 662048 839936 939524 1324096 1879048 2648192 3758096 3992977 5296384 7516192 7985954 15032384 15971908 30064768 31943816 60129536 63887632 127775264 255550528 511101056 1022202112