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22058920 = 2351359719
BaseRepresentation
bin101010000100…
…1011110101000
31112111201011001
41110021132220
521121341140
62104444344
7355332502
oct124113650
945451131
1022058920
11114a7214
1274796b4
134754620
142d02d72
151e0ae9a
hex15097a8

22058920 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 7995648.

The previous prime is 22058899. The next prime is 22058923. The reversal of 22058920 is 2985022.

It is not an unprimeable number, because it can be changed into a prime (22058923) 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 15 ways as a sum of consecutive naturals, for example, 30321 + ... + 31039.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 222058920 is an apocalyptic number.

22058920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22058920 is the 3835-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

22058920 is an abundant number, since it is smaller than the sum of its proper divisors (32373080).

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

22058920 is a wasteful number, since it uses less digits than its factorization.

22058920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 22058920 is about 4696.6924532058. The cubic root of 22058920 is about 280.4538557783.

The spelling of 22058920 in words is "twenty-two million, fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 719 767 1180 1438 1534 2360 2876 3068 3595 3835 5752 6136 7190 7670 9347 14380 15340 18694 28760 30680 37388 42421 46735 74776 84842 93470 169684 186940 212105 339368 373880 424210 551473 848420 1102946 1696840 2205892 2757365 4411784 5514730 11029460 22058920