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2264120 = 235232107
BaseRepresentation
bin1000101000110000111000
311021000210022
420220300320
51034422440
6120310012
725146635
oct10506070
94230708
102264120
111307081
12912308
13613721
1442d18c
152eacb5
hex228c38

2264120 has 48 divisors (see below), whose sum is σ = 5375160. Its totient is φ = 858176.

The previous prime is 2264113. The next prime is 2264149. The reversal of 2264120 is 214622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21107 + ... + 21213.

22264120 is an apocalyptic number.

2264120 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 2264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687580).

2264120 is an abundant number, since it is smaller than the sum of its proper divisors (3111040).

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

2264120 is a wasteful number, since it uses less digits than its factorization.

2264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2264120 is about 1504.6993055092. The cubic root of 2264120 is about 131.3106084404.

Adding to 2264120 its reverse (214622), we get a palindrome (2478742).

The spelling of 2264120 in words is "two million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 107 115 184 214 230 428 460 529 535 856 920 1058 1070 2116 2140 2461 2645 4232 4280 4922 5290 9844 10580 12305 19688 21160 24610 49220 56603 98440 113206 226412 283015 452824 566030 1132060 2264120