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2105325222 = 237113132897
BaseRepresentation
bin111110101111100…
…1011011010100110
312102201112121021020
41331133023122212
513302430401342
6544524232010
7103112653260
oct17537133246
95381477236
102105325222
11990446000
124a909b606
13277233990
1415d874b30
15c4c6a0ec
hex7d7cb6a6

2105325222 has 128 divisors (see below), whose sum is σ = 5702151168. Its totient is φ = 504599040.

The previous prime is 2105325221. The next prime is 2105325241. The reversal of 2105325222 is 2225235012.

It is a junction number, because it is equal to n+sod(n) for n = 2105325192 and 2105325201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105325221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725278 + ... + 728174.

It is an arithmetic number, because the mean of its divisors is an integer number (44548056).

Almost surely, 22105325222 is an apocalyptic number.

2105325222 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 2105325222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851075584).

2105325222 is an abundant number, since it is smaller than the sum of its proper divisors (3596825946).

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

2105325222 is a wasteful number, since it uses less digits than its factorization.

2105325222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2105325222 is about 45883.8230970350. The cubic root of 2105325222 is about 1281.6606907365.

The spelling of 2105325222 in words is "two billion, one hundred five million, three hundred twenty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1331 1573 1694 2002 2541 2662 2897 3003 3146 3993 4719 5082 5794 6006 7986 8691 9317 9438 11011 17303 17382 18634 20279 22022 27951 31867 33033 34606 37661 40558 51909 55902 60837 63734 66066 75322 95601 103818 112983 121121 121674 191202 223069 225966 242242 263627 350537 363363 414271 446138 527254 669207 701074 726726 790881 828542 1051611 1242813 1338414 1581762 2103222 2453759 2485626 2899897 3855907 4556981 4907518 5799794 7361277 7711814 8699691 9113962 11567721 13670943 14722554 17399382 23135442 26991349 27341886 31898867 50126791 53982698 63797734 80974047 95696601 100253582 150380373 161948094 191393202 300760746 350887537 701775074 1052662611 2105325222