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2212222104 = 233417409491
BaseRepresentation
bin1000001111011011…
…1101010010011000
312201011200112020000
42003312331102120
514012312101404
61003303333000
7105551402061
oct20366752230
95634615200
102212222104
11a35818234
12518a51160
13293420781
1416db3d568
15ce333339
hex83dbd498

2212222104 has 160 divisors (see below), whose sum is σ = 6590192400. Its totient is φ = 690923520.

The previous prime is 2212222097. The next prime is 2212222123. The reversal of 2212222104 is 4012222122.

2212222104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4505299 + ... + 4505789.

Almost surely, 22212222104 is an apocalyptic number.

2212222104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212222104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295096200).

2212222104 is an abundant number, since it is smaller than the sum of its proper divisors (4377970296).

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

2212222104 is a wasteful number, since it uses less digits than its factorization.

2212222104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 922 counting only the distinct ones).

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

The square root of 2212222104 is about 47034.2652116518. The cubic root of 2212222104 is about 1302.9954798449.

Adding to 2212222104 its sum of digits (18), we get a palindrome (2212222122).

Adding to 2212222104 its reverse (4012222122), we get a palindrome (6224444226).

The spelling of 2212222104 in words is "two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 409 459 491 612 648 818 918 982 1224 1227 1377 1473 1636 1836 1964 2454 2754 2946 3272 3672 3681 3928 4419 4908 5508 5892 6953 7362 8347 8838 9816 11016 11043 11784 13257 13906 14724 16694 17676 20859 22086 25041 26514 27812 29448 33129 33388 35352 39771 41718 44172 50082 53028 55624 62577 66258 66776 75123 79542 83436 88344 100164 106056 125154 132516 150246 159084 166872 187731 200328 200819 225369 250308 265032 300492 318168 375462 401638 450738 500616 563193 600984 602457 676107 750924 803276 901476 1126386 1204914 1352214 1501848 1606552 1802952 1807371 2252772 2409828 2704428 3413923 3614742 4505544 4819656 5408856 5422113 6827846 7229484 10241769 10844226 13655692 14458968 16266339 20483538 21688452 27311384 30725307 32532678 40967076 43376904 61450614 65065356 81934152 92175921 122901228 130130712 184351842 245802456 276527763 368703684 553055526 737407368 1106111052 2212222104