Search a number
-
+
2290781450316 = 2232329286204579
BaseRepresentation
bin100001010101011101001…
…101101111000001001100
322002222220111110000220010
4201111131031233001030
5300013010022402231
64512212004353220
7324334462023312
oct41253515570114
98088814400803
102290781450316
11803573454287
1230bb760a5810
13138034562448
147cc3556a0b2
153e8c61de546
hex2155d36f04c

2290781450316 has 48 divisors (see below), whose sum is σ = 5769884332800. Its totient is φ = 705208080192.

The previous prime is 2290781450249. The next prime is 2290781450317. The reversal of 2290781450316 is 6130541870922.

It is a super-2 number, since 2×22907814503162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2290781450317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143094286 + ... + 143110293.

It is an arithmetic number, because the mean of its divisors is an integer number (120205923600).

It is a 1-persistent number, because it is pandigital, but 2⋅2290781450316 = 4581562900632 is not.

Almost surely, 22290781450316 is an apocalyptic number.

It is an amenable number.

2290781450316 is an abundant number, since it is smaller than the sum of its proper divisors (3479102882484).

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

2290781450316 is a wasteful number, since it uses less digits than its factorization.

2290781450316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286204638 (or 286204636 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 2290781450316 in words is "two trillion, two hundred ninety billion, seven hundred eighty-one million, four hundred fifty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 286204579 572409158 858613737 1144818316 1717227474 3434454948 6582705317 8299932791 13165410634 16599865582 19748115951 24899798373 26330821268 33199731164 39496231902 49799596746 78992463804 99599193492 190898454193 381796908386 572695362579 763593816772 1145390725158 2290781450316