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2266120 = 235181313
BaseRepresentation
bin1000101001010000001000
311021010112101
420221100020
51040003440
6120323144
725155523
oct10512010
94233471
102266120
11130862a
129134b4
136145cc
1442dbba
152eb69a
hex229408

2266120 has 32 divisors (see below), whose sum is σ = 5143320. Its totient is φ = 898560.

The previous prime is 2266109. The next prime is 2266129. The reversal of 2266120 is 216622.

It can be written as a sum of positive squares in 4 ways, for example, as 367236 + 1898884 = 606^2 + 1378^2 .

It is not an unprimeable number, because it can be changed into a prime (2266129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7084 + ... + 7396.

22266120 is an apocalyptic number.

2266120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2266120 is an abundant number, since it is smaller than the sum of its proper divisors (2877200).

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

2266120 is a wasteful number, since it uses less digits than its factorization.

2266120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2266120 is about 1505.3637434188. The cubic root of 2266120 is about 131.3492612689.

The spelling of 2266120 in words is "two million, two hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 313 362 626 724 905 1252 1448 1565 1810 2504 3130 3620 6260 7240 12520 56653 113306 226612 283265 453224 566530 1133060 2266120