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22828020 = 22351013767
BaseRepresentation
bin101011100010…
…1001111110100
31120221210011020
41113011033310
521320444040
62133141140
7365014665
oct127051764
946853136
1022828020
1111982036
12778a7b0
134963707
14306336c
15200dcd0
hex15c53f4

22828020 has 48 divisors (see below), whose sum is σ = 64568448. Its totient is φ = 6025600.

The previous prime is 22828019. The next prime is 22828031. The reversal of 22828020 is 2082822.

It is a super-2 number, since 2×228280202 = 1042236994240800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177 + ... + 7943.

It is an arithmetic number, because the mean of its divisors is an integer number (1345176).

Almost surely, 222828020 is an apocalyptic number.

22828020 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 22828020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32284224).

22828020 is an abundant number, since it is smaller than the sum of its proper divisors (41740428).

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

22828020 is a wasteful number, since it uses less digits than its factorization.

22828020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 22828020 is about 4777.8677252515. The cubic root of 22828020 is about 283.6761003514.

The spelling of 22828020 in words is "twenty-two million, eight hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3767 6060 7534 11301 15068 18835 22602 37670 45204 56505 75340 113010 226020 380467 760934 1141401 1521868 1902335 2282802 3804670 4565604 5707005 7609340 11414010 22828020