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200022002112 = 2639717362081
BaseRepresentation
bin1011101001001000111…
…1011000100111000000
3201010021212200111201110
42322102033120213000
511234121113031422
6231515553403320
720310505652052
oct2722217304700
9633255614643
10200022002112
1177913229769
1232922b69540
1315b28a5398a
149976dab8d2
15530a36d60c
hex2e923d89c0

200022002112 has 112 divisors (see below), whose sum is σ = 537780110112. Its totient is φ = 65604157440.

The previous prime is 200022002107. The next prime is 200022002123. The reversal of 200022002112 is 211200220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3190912 + ... + 3252992.

It is an arithmetic number, because the mean of its divisors is an integer number (4801608126).

Almost surely, 2200022002112 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 200022002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268890055056).

200022002112 is an abundant number, since it is smaller than the sum of its proper divisors (337758108000).

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

200022002112 is a wasteful number, since it uses less digits than its factorization.

200022002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62366 (or 62356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200022002112 its reverse (211200220002), we get a palindrome (411222222114).

The spelling of 200022002112 in words is "two hundred billion, twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 173 192 194 291 346 388 519 582 692 776 1038 1164 1384 1552 2076 2328 2768 3104 4152 4656 5536 6208 8304 9312 11072 16608 16781 18624 33216 33562 50343 62081 67124 100686 124162 134248 186243 201372 248324 268496 372486 402744 496648 536992 744972 805488 993296 1073984 1489944 1610976 1986592 2979888 3221952 3973184 5959776 6021857 10740013 11919552 12043714 18065571 21480026 24087428 32220039 36131142 42960052 48174856 64440078 72262284 85920104 96349712 128880156 144524568 171840208 192699424 257760312 289049136 343680416 385398848 515520624 578098272 687360832 1031041248 1041781261 1156196544 2062082496 2083562522 3125343783 4167125044 6250687566 8334250088 12501375132 16668500176 25002750264 33337000352 50005500528 66674000704 100011001056 200022002112