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22465820 = 22513711217
BaseRepresentation
bin101010110110…
…0110100011100
31120021101022102
41111230310130
521222401240
62121304232
7361646006
oct125546434
946241272
1022465820
11117549a3
127635078
1348678b0
142dab376
151e8b815
hex156cd1c

22465820 has 48 divisors (see below), whose sum is σ = 51565248. Its totient is φ = 8171520.

The previous prime is 22465819. The next prime is 22465829. The reversal of 22465820 is 2856422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22465829) 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 15 ways as a sum of consecutive naturals, for example, 17852 + ... + 19068.

It is an arithmetic number, because the mean of its divisors is an integer number (1074276).

Almost surely, 222465820 is an apocalyptic number.

22465820 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 22465820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25782624).

22465820 is an abundant number, since it is smaller than the sum of its proper divisors (29099428).

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

22465820 is a wasteful number, since it uses less digits than its factorization.

22465820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 22465820 is about 4739.8122325679. The cubic root of 22465820 is about 282.1677823868.

The spelling of 22465820 in words is "twenty-two million, four hundred sixty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1217 1420 1846 2434 3692 4615 4868 6085 9230 12170 15821 18460 24340 31642 63284 79105 86407 158210 172814 316420 345628 432035 864070 1123291 1728140 2246582 4493164 5616455 11232910 22465820