Search a number
-
+
2105145224 = 2371317170099
BaseRepresentation
bin111110101111001…
…1111011110001000
312102201012110100122
41331132133132020
513302404121344
6544520322412
7103111303430
oct17536373610
95381173318
102105145224
11990332846
124a9013408
1327719ca80
1415d8292c0
15c4c31aee
hex7d79f788

2105145224 has 64 divisors (see below), whose sum is σ = 5143824000. Its totient is φ = 783811584.

The previous prime is 2105145187. The next prime is 2105145253. The reversal of 2105145224 is 4225415012.

It is a super-3 number, since 3×21051452243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2105145193 and 2105145202.

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, 72674 + ... + 97425.

It is an arithmetic number, because the mean of its divisors is an integer number (80372250).

Almost surely, 22105145224 is an apocalyptic number.

It is an amenable number.

2105145224 is an abundant number, since it is smaller than the sum of its proper divisors (3038678776).

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

2105145224 is a wasteful number, since it uses less digits than its factorization.

2105145224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170142 (or 170138 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2105145224 is about 45881.8616012908. The cubic root of 2105145224 is about 1281.6241638485.

The spelling of 2105145224 in words is "two billion, one hundred five million, one hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 12376 170099 340198 680396 1190693 1360792 2211287 2381386 2891683 4422574 4762772 5783366 8845148 9525544 11566732 15479009 17690296 20241781 23133464 30958018 37591879 40483562 61916036 75183758 80967124 123832072 150367516 161934248 263143153 300735032 526286306 1052572612 2105145224