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212122422 = 233192389101
BaseRepresentation
bin11001010010010…
…11101100110110
3112210010221021000
430221023230312
5413300404142
633014304130
75154003501
oct1451135466
9483127230
10212122422
11a9812796
125b058046
1334c3cc35
142025a138
151395114c
hexca4bb36

212122422 has 128 divisors (see below), whose sum is σ = 528768000. Its totient is φ = 62726400.

The previous prime is 212122381. The next prime is 212122433. The reversal of 212122422 is 224221212.

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 = 212122395 and 212122404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2100172 + ... + 2100272.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2212122422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

212122422 is an abundant number, since it is smaller than the sum of its proper divisors (316645578).

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

212122422 is a wasteful number, since it uses less digits than its factorization.

212122422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 212122422 is about 14564.4231605649. The cubic root of 212122422 is about 596.3879487786.

Adding to 212122422 its reverse (224221212), we get a palindrome (436343634).

The spelling of 212122422 in words is "two hundred twelve million, one hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 89 101 114 138 171 178 202 207 267 303 342 414 437 513 534 606 621 801 874 909 1026 1242 1311 1602 1691 1818 1919 2047 2323 2403 2622 2727 3382 3838 3933 4094 4646 4806 5073 5454 5757 6141 6969 7866 8989 10146 11514 11799 12282 13938 15219 17271 17978 18423 20907 23598 26967 30438 34542 36846 38893 41814 44137 45657 51813 53934 55269 62721 77786 80901 88274 91314 103626 110538 116679 125442 132411 161802 170791 206747 233358 242703 264822 341582 350037 397233 413494 485406 512373 620241 700074 794466 1024746 1050111 1191699 1240482 1537119 1860723 2100222 2383398 3074238 3721446 3928193 4611357 5582169 7856386 9222714 11164338 11784579 23569158 35353737 70707474 106061211 212122422