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2212026112 = 28591371069
BaseRepresentation
bin1000001111011000…
…1101011100000000
312201011022120101001
42003312031130000
514012234313422
61003255221344
7105546624502
oct20366153400
95634276331
102212026112
11a356a3a5a
12518977854
132933824ba
1416dacbd72
15ce2e5227
hex83d8d700

2212026112 has 72 divisors (see below), whose sum is σ = 4527255600. Its totient is φ = 1078321152.

The previous prime is 2212026083. The next prime is 2212026119. The reversal of 2212026112 is 2116202122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212026112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212026119) by changing a digit.

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, 2068714 + ... + 2069782.

It is an arithmetic number, because the mean of its divisors is an integer number (62878550).

Almost surely, 22212026112 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 2212026112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263627800).

2212026112 is an abundant number, since it is smaller than the sum of its proper divisors (2315229488).

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

2212026112 is a wasteful number, since it uses less digits than its factorization.

2212026112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2212026112 is about 47032.1816631974. The cubic root of 2212026112 is about 1302.9569990445.

Adding to 2212026112 its reverse (2116202122), we get a palindrome (4328228234).

The spelling of 2212026112 in words is "two billion, two hundred twelve million, twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 137 236 256 274 472 548 944 1069 1096 1888 2138 2192 3776 4276 4384 7552 8083 8552 8768 15104 16166 17104 17536 32332 34208 35072 63071 64664 68416 126142 129328 136832 146453 252284 258656 273664 292906 504568 517312 585812 1009136 1034624 1171624 2018272 2069248 2343248 4036544 4686496 8073088 8640727 9372992 16146176 17281454 18745984 34562908 37491968 69125816 138251632 276503264 553006528 1106013056 2212026112