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2102223222 = 23211671071481
BaseRepresentation
bin111110101001101…
…0110000101110110
312102111201000010100
41331103112011312
513301132120342
6544333534530
7103044413451
oct17523260566
95374630110
102102223222
11989717470
124a8044446
132766b8a88
1415d2a8498
15c4855e4c
hex7d4d6176

2102223222 has 96 divisors (see below), whose sum is σ = 5093622144. Its totient is φ = 621244800.

The previous prime is 2102223203. The next prime is 2102223229. The reversal of 2102223222 is 2223222012.

It is a super-3 number, since 3×21022232223 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2102223195 and 2102223204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102223229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418722 + ... + 1420202.

It is an arithmetic number, because the mean of its divisors is an integer number (53058564).

Almost surely, 22102223222 is an apocalyptic number.

2102223222 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 2102223222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546811072).

2102223222 is an abundant number, since it is smaller than the sum of its proper divisors (2991398922).

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

2102223222 is a wasteful number, since it uses less digits than its factorization.

2102223222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2102223222 is about 45850.0078734999. The cubic root of 2102223222 is about 1281.0309122373.

Adding to 2102223222 its reverse (2223222012), we get a palindrome (4325445234).

It can be divided in two parts, 210222 and 3222, that added together give a square (213444 = 4622).

The spelling of 2102223222 in words is "two billion, one hundred two million, two hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 107 134 198 201 214 321 402 603 642 737 963 1177 1206 1474 1481 1926 2211 2354 2962 3531 4422 4443 6633 7062 7169 8886 10593 13266 13329 14338 16291 21186 21507 26658 32582 43014 48873 64521 78859 97746 99227 129042 146619 157718 158467 198454 236577 293238 297681 316934 473154 475401 595362 709731 893043 950802 1091497 1419462 1426203 1743137 1786086 2182994 2852406 3274491 3486274 5229411 6548982 9823473 10458822 10617289 15688233 19646946 21234578 31376466 31851867 63703734 95555601 116790179 191111202 233580358 350370537 700741074 1051111611 2102223222