Search a number
-
+
2286711540 = 223354234651
BaseRepresentation
bin1000100001001100…
…0111001011110100
312220100211222112000
42020103013023310
514140344232130
61014524055300
7110444504331
oct21023071364
95810758460
102286711540
11a73875253
12539994530
132a59a1869
141799ad988
15d5b49260
hex884c72f4

2286711540 has 48 divisors (see below), whose sum is σ = 7114215360. Its totient is φ = 609789600.

The previous prime is 2286711533. The next prime is 2286711563. The reversal of 2286711540 is 451176822.

2286711540 is a `hidden beast` number, since 22 + 86 + 7 + 11 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2286711495 and 2286711504.

It is a congruent number.

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, 2116786 + ... + 2117865.

It is an arithmetic number, because the mean of its divisors is an integer number (148212820).

Almost surely, 22286711540 is an apocalyptic number.

2286711540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2286711540 is an abundant number, since it is smaller than the sum of its proper divisors (4827503820).

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

2286711540 is a wasteful number, since it uses less digits than its factorization.

2286711540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234669 (or 4234661 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2286711540 is about 47819.5727709899. The cubic root of 2286711540 is about 1317.4590582186.

The spelling of 2286711540 in words is "two billion, two hundred eighty-six million, seven hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4234651 8469302 12703953 16938604 21173255 25407906 38111859 42346510 50815812 63519765 76223718 84693020 114335577 127039530 152447436 190559295 228671154 254079060 381118590 457342308 571677885 762237180 1143355770 2286711540