Search a number
-
+
2948228492 = 22114179137151
BaseRepresentation
bin1010111110111010…
…0110010110001100
321121110121112011212
42233232212112030
522014221302432
61204314433552
7133026346226
oct25756462614
97543545155
102948228492
11128321a780
126a34328b8
1337ca58a01
141dd7ab416
15123c692b2
hexafba658c

2948228492 has 96 divisors (see below), whose sum is σ = 5920266240. Its totient is φ = 1272960000.

The previous prime is 2948228483. The next prime is 2948228501.

It is a happy number.

2948228492 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2948228483) and next prime (2948228501).

It is a self number, because there is not a number n which added to its sum of digits gives 2948228492.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19524617 + ... + 19524767.

It is an arithmetic number, because the mean of its divisors is an integer number (61669440).

Almost surely, 22948228492 is an apocalyptic number.

2948228492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2948228492 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2948228492 is a wasteful number, since it uses less digits than its factorization.

2948228492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The square root of 2948228492 is about 54297.5919539716. The cubic root of 2948228492 is about 1433.9050017242.

The spelling of 2948228492 in words is "two billion, nine hundred forty-eight million, two hundred twenty-eight thousand, four hundred ninety-two".

Divisors: 1 2 4 11 22 41 44 79 82 137 151 158 164 274 302 316 451 548 604 869 902 1507 1661 1738 1804 3014 3239 3322 3476 5617 6028 6191 6478 6644 10823 11234 11929 12382 12956 20687 21646 22468 23858 24764 35629 41374 43292 47716 61787 68101 71258 82748 119053 123574 131219 136202 142516 227557 238106 247148 262438 272404 443743 455114 476212 489089 524876 848167 887486 910228 978178 1634273 1696334 1774972 1956356 3268546 3392668 4881173 5379979 6537092 9329837 9762346 10759958 17977003 18659674 19524692 21519916 35954006 37319348 67005193 71908012 134010386 268020772 737057123 1474114246 2948228492