Search a number
-
+
2425212020 = 2257115472879
BaseRepresentation
bin1001000010001101…
…1100110001110100
320021000110112110102
42100203130301310
514431323241040
61040352413232
7114045650660
oct22043346164
96230415412
102425212020
111034a72760
12578247218
132c85a54ca
141901438a0
15e2da6515
hex908dcc74

2425212020 has 96 divisors (see below), whose sum is σ = 6363463680. Its totient is φ = 754266240.

The previous prime is 2425212007. The next prime is 2425212071. The reversal of 2425212020 is 202125242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2425211983 and 2425212001.

It is a congruent number.

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, 840941 + ... + 843819.

It is an arithmetic number, because the mean of its divisors is an integer number (66286080).

Almost surely, 22425212020 is an apocalyptic number.

2425212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181731840).

2425212020 is an abundant number, since it is smaller than the sum of its proper divisors (3938251660).

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

2425212020 is a wasteful number, since it uses less digits than its factorization.

2425212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2425212020 is about 49246.4416988679. The cubic root of 2425212020 is about 1343.5378443642.

Adding to 2425212020 its reverse (202125242), we get a palindrome (2627337262).

The spelling of 2425212020 in words is "two billion, four hundred twenty-five million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 547 770 1094 1540 2188 2735 2879 3829 5470 5758 6017 7658 10940 11516 12034 14395 15316 19145 20153 24068 28790 30085 31669 38290 40306 42119 57580 60170 63338 76580 80612 84238 100765 120340 126676 158345 168476 201530 210595 221683 316690 403060 421190 443366 633380 842380 886732 1108415 1574813 2216830 3149626 4433660 6299252 7874065 11023691 15748130 17322943 22047382 31496260 34645886 44094764 55118455 69291772 86614715 110236910 121260601 173229430 220473820 242521202 346458860 485042404 606303005 1212606010 2425212020