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2266920 = 233352099
BaseRepresentation
bin1000101001011100101000
311021011122000
420221130220
51040020140
6120331000
725161045
oct10513450
94234560
102266920
111309197
12913a60
13614a96
144301cc
152eba30
hex229728

2266920 has 64 divisors (see below), whose sum is σ = 7560000. Its totient is φ = 604224.

The previous prime is 2266907. The next prime is 2266921. The reversal of 2266920 is 296622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2266921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (118125).

22266920 is an apocalyptic number.

2266920 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 2266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780000).

2266920 is an abundant number, since it is smaller than the sum of its proper divisors (5293080).

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

2266920 is a wasteful number, since it uses less digits than its factorization.

2266920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2266920 is about 1505.6294364816. The cubic root of 2266920 is about 131.3647160324.

The spelling of 2266920 in words is "two million, two hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2099 4198 6297 8396 10495 12594 16792 18891 20990 25188 31485 37782 41980 50376 56673 62970 75564 83960 94455 113346 125940 151128 188910 226692 251880 283365 377820 453384 566730 755640 1133460 2266920