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22820420 = 2257163003
BaseRepresentation
bin101011100001…
…1011001000100
31120221101201202
41113003121010
521320223140
62133042032
7364653560
oct127033104
946841652
1022820420
1111977357
127786318
13496010c
1430606a0
15200b915
hex15c3644

22820420 has 24 divisors (see below), whose sum is σ = 54769344. Its totient is φ = 7824096.

The previous prime is 22820407. The next prime is 22820423. The reversal of 22820420 is 2402822.

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 = 22820392 and 22820401.

It is not an unprimeable number, because it can be changed into a prime (22820423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81362 + ... + 81641.

It is an arithmetic number, because the mean of its divisors is an integer number (2282056).

Almost surely, 222820420 is an apocalyptic number.

22820420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22820420 is an abundant number, since it is smaller than the sum of its proper divisors (31948924).

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

22820420 is a wasteful number, since it uses less digits than its factorization.

22820420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163019 (or 163017 counting only the distinct ones).

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

The square root of 22820420 is about 4777.0723251799. The cubic root of 22820420 is about 283.6446159788.

The spelling of 22820420 in words is "twenty-two million, eight hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163003 326006 652012 815015 1141021 1630030 2282042 3260060 4564084 5705105 11410210 22820420