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2123013222 = 23211193791489
BaseRepresentation
bin111111010001010…
…1001110001100110
312110221211020122100
41332202221301212
513321442410342
6550355312530
7103416212631
oct17642516146
95427736570
102123013222
1199a427290
124b2bab746
1327aab7955
14161d5ac18
15c65b0e4c
hex7e8a9c66

2123013222 has 96 divisors (see below), whose sum is σ = 5299632000. Its totient is φ = 607461120.

The previous prime is 2123013197. The next prime is 2123013257. The reversal of 2123013222 is 2223103212.

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 = 2123013195 and 2123013204.

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 47 ways as a sum of consecutive naturals, for example, 1425054 + ... + 1426542.

It is an arithmetic number, because the mean of its divisors is an integer number (55204500).

Almost surely, 22123013222 is an apocalyptic number.

2123013222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649816000).

2123013222 is an abundant number, since it is smaller than the sum of its proper divisors (3176618778).

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

2123013222 is a wasteful number, since it uses less digits than its factorization.

2123013222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123013222 is about 46076.1676140714. The cubic root of 2123013222 is about 1285.2399985750.

Adding to 2123013222 its reverse (2223103212), we get a palindrome (4346116434).

The spelling of 2123013222 in words is "two billion, one hundred twenty-three million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 379 418 627 758 1137 1254 1489 1881 2274 2978 3411 3762 4169 4467 6822 7201 8338 8934 12507 13401 14402 16379 21603 25014 26802 28291 32758 37521 43206 49137 56582 64809 75042 79211 84873 98274 129618 147411 158422 169746 237633 254619 294822 311201 475266 509238 564331 622402 712899 933603 1128662 1425798 1692993 1867206 2800809 3385986 5078979 5601618 6207641 10157958 10722289 12415282 18622923 21444578 32166867 37245846 55868769 64333734 96500601 111737538 117945179 193001202 235890358 353835537 707671074 1061506611 2123013222