[go: up one dir, main page]

Search a number
-
+
2822420 = 225141121
BaseRepresentation
bin1010110001000100010100
312022101122002
422301010110
51210304140
6140254432
732663426
oct12610424
95271562
102822420
111658587
12b41418
1377a893
14536816
153ab415
hex2b1114

2822420 has 12 divisors (see below), whose sum is σ = 5927124. Its totient is φ = 1128960.

The previous prime is 2822411. The next prime is 2822423. The reversal of 2822420 is 242282.

It can be written as a sum of positive squares in 2 ways, for example, as 456976 + 2365444 = 676^2 + 1538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 141121 = 2822420 / (2 + 8 + 2 + 2 + 4 + 2 + 0).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2822392 and 2822401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70541 + ... + 70580.

It is an arithmetic number, because the mean of its divisors is an integer number (493927).

22822420 is an apocalyptic number.

2822420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2822420 is an abundant number, since it is smaller than the sum of its proper divisors (3104704).

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

2822420 is a wasteful number, since it uses less digits than its factorization.

2822420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141130 (or 141128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2822420 is about 1680.0059523704. The cubic root of 2822420 is about 141.3211665291.

Subtracting from 2822420 its sum of digits (20), we obtain a square (2822400 = 16802).

It can be divided in two parts, 28 and 22420, that multiplied together give a triangular number (627760 = T1120).

The spelling of 2822420 in words is "two million, eight hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 141121 282242 564484 705605 1411210 2822420