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2330900 = 22521113163
BaseRepresentation
bin1000111001000100010100
311101102101122
420321010110
51044042100
6121543112
725545425
oct10710424
94342348
102330900
111352270
12944a98
13637c40
1444964c
15310985
hex239114

2330900 has 72 divisors (see below), whose sum is σ = 5978784. Its totient is φ = 777600.

The previous prime is 2330899. The next prime is 2330903. The reversal of 2330900 is 90332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14219 + ... + 14381.

22330900 is an apocalyptic number.

2330900 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 2330900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989392).

2330900 is an abundant number, since it is smaller than the sum of its proper divisors (3647884).

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

2330900 is a wasteful number, since it uses less digits than its factorization.

2330900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2330900 is about 1526.7285285865. The cubic root of 2330900 is about 132.5891176905.

The spelling of 2330900 in words is "two million, three hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 163 220 260 275 286 325 326 550 572 650 652 715 815 1100 1300 1430 1630 1793 2119 2860 3260 3575 3586 4075 4238 7150 7172 8150 8476 8965 10595 14300 16300 17930 21190 23309 35860 42380 44825 46618 52975 89650 93236 105950 116545 179300 211900 233090 466180 582725 1165450 2330900