Search a number
-
+
2285692920 = 233257907021
BaseRepresentation
bin1000100000111100…
…1110011111111000
312220021221020020100
42020033032133320
514140114133140
61014450155400
7110433032520
oct21017163770
95807836210
102285692920
11a73239a15
12539582b60
132a5706024
141797c6680
15d59e7530
hex883ce7f8

2285692920 has 96 divisors (see below), whose sum is σ = 8489725920. Its totient is φ = 522443520.

The previous prime is 2285692897. The next prime is 2285692921. The reversal of 2285692920 is 292965822.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285692921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450991 + ... + 456030.

It is an arithmetic number, because the mean of its divisors is an integer number (88434645).

Almost surely, 22285692920 is an apocalyptic number.

2285692920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2285692920 is an abundant number, since it is smaller than the sum of its proper divisors (6204033000).

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

2285692920 is a wasteful number, since it uses less digits than its factorization.

2285692920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907045 (or 907038 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2285692920 is about 47808.9209248651. The cubic root of 2285692920 is about 1317.2634076179.

The spelling of 2285692920 in words is "two billion, two hundred eighty-five million, six hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 907021 1814042 2721063 3628084 4535105 5442126 6349147 7256168 8163189 9070210 10884252 12698294 13605315 16326378 18140420 19047441 21768504 25396588 27210630 31745735 32652756 36280840 38094882 40815945 50793176 54421260 57142323 63491470 65305512 76189764 81631890 95237205 108842520 114284646 126982940 152379528 163263780 190474410 228569292 253965880 285711615 326527560 380948820 457138584 571423230 761897640 1142846460 2285692920