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2125555212 = 2231122363647
BaseRepresentation
bin111111010110001…
…0110011000001100
312111010121101121010
41332230112120030
513323120231322
6550530005220
7103446630654
oct17654263014
95433541533
102125555212
119a0903100
124b3a16810
1327b4979a1
1416241d364
15c691420c
hex7eb1660c

2125555212 has 72 divisors (see below), whose sum is σ = 5688603648. Its totient is φ = 616093280.

The previous prime is 2125555193. The next prime is 2125555241.

2125555212 is nontrivially palindromic in base 10.

2125555212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2125555212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1573 + ... + 65219.

It is an arithmetic number, because the mean of its divisors is an integer number (79008384).

Almost surely, 22125555212 is an apocalyptic number.

2125555212 is a gapful number since it is divisible by the number (22) 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 2125555212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844301824).

2125555212 is an abundant number, since it is smaller than the sum of its proper divisors (3563048436).

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

2125555212 is a wasteful number, since it uses less digits than its factorization.

2125555212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63699 (or 63686 counting only the distinct ones).

The product of its digits is 10000, while the sum is 30.

The square root of 2125555212 is about 46103.7440128239. The cubic root of 2125555212 is about 1285.7527547079.

It can be divided in two parts, 21255 and 55212, that added together give a palindrome (76467).

The spelling of 2125555212 in words is "two billion, one hundred twenty-five million, five hundred fifty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 11132 16698 33396 63647 127294 190941 254588 381882 700117 763764 1400234 1463881 2100351 2800468 2927762 4200702 4391643 5855524 7701287 8401404 8783286 15402574 16102691 17566572 23103861 30805148 32205382 46207722 48308073 64410764 92415444 96616146 177129601 193232292 354259202 531388803 708518404 1062777606 2125555212