[go: up one dir, main page]

Search a number
-
+
22082420 = 2257115551
BaseRepresentation
bin101010000111…
…1001101110100
31112112220101102
41110033031310
521123114140
62105145232
7355461143
oct124171564
945486342
1022082420
1111512938
12748b218
134762229
142d0b75a
151e12e15
hex150f374

22082420 has 24 divisors (see below), whose sum is σ = 47029248. Its totient is φ = 8708000.

The previous prime is 22082407. The next prime is 22082429. The reversal of 22082420 is 2428022.

22082420 = T160 + T161 + ... + T514.

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 = 22082392 and 22082401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6356 + ... + 9195.

It is an arithmetic number, because the mean of its divisors is an integer number (1959552).

Almost surely, 222082420 is an apocalyptic number.

22082420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22082420 is an abundant number, since it is smaller than the sum of its proper divisors (24946828).

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

22082420 is a wasteful number, since it uses less digits than its factorization.

22082420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15631 (or 15629 counting only the distinct ones).

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

The square root of 22082420 is about 4699.1935478335. The cubic root of 22082420 is about 280.5534122780.

The spelling of 22082420 in words is "twenty-two million, eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 15551 31102 62204 77755 155510 311020 1104121 2208242 4416484 5520605 11041210 22082420