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2105412232 = 2371123314669
BaseRepresentation
bin111110101111110…
…0000101010001000
312102201201000121211
41331133200222020
513302441142412
6544530142504
7103113465040
oct17537405210
95381630554
102105412232
119904a5410
124a9121a34
13277264471
1415d898720
15c4c85ca7
hex7d7e0a88

2105412232 has 64 divisors (see below), whose sum is σ = 4943203200. Its totient is φ = 816714240.

The previous prime is 2105412229. The next prime is 2105412247. The reversal of 2105412232 is 2322145012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136194 + ... + 150862.

It is an arithmetic number, because the mean of its divisors is an integer number (77237550).

Almost surely, 22105412232 is an apocalyptic number.

2105412232 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 2105412232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471601600).

2105412232 is an abundant number, since it is smaller than the sum of its proper divisors (2837790968).

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

2105412232 is a wasteful number, since it uses less digits than its factorization.

2105412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14926 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2105412232 is about 45884.7712427555. The cubic root of 2105412232 is about 1281.6783468781.

Adding to 2105412232 its reverse (2322145012), we get a palindrome (4427557244).

The spelling of 2105412232 in words is "two billion, one hundred five million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 233 308 466 616 932 1631 1864 2563 3262 5126 6524 10252 13048 14669 17941 20504 29338 35882 58676 71764 102683 117352 143528 161359 205366 322718 410732 645436 821464 1129513 1290872 2259026 3417877 4518052 6835754 9036104 13671508 23925139 27343016 37596647 47850278 75193294 95700556 150386588 191401112 263176529 300773176 526353058 1052706116 2105412232