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2232900 = 223352827
BaseRepresentation
bin1000100001001001000100
311012102222000
420201021010
51032423100
6115505300
724656625
oct10411104
94172860
102232900
11129567a
128b8230
13602457
14421a4c
152e1900
hex221244

2232900 has 72 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 594720.

The previous prime is 2232889. The next prime is 2232907. The reversal of 2232900 is 92322.

It is a super-3 number, since 3×22329003 = 33398662551867000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2232907) 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, 2287 + ... + 3113.

It is an arithmetic number, because the mean of its divisors is an integer number (99820).

22232900 is an apocalyptic number.

2232900 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 2232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593520).

2232900 is an abundant number, since it is smaller than the sum of its proper divisors (4954140).

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

2232900 is a wasteful number, since it uses less digits than its factorization.

2232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2232900 is about 1494.2891286495. The cubic root of 2232900 is about 130.7042645982.

The spelling of 2232900 in words is "two million, two hundred thirty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 827 900 1350 1654 2481 2700 3308 4135 4962 7443 8270 9924 12405 14886 16540 20675 22329 24810 29772 37215 41350 44658 49620 62025 74430 82700 89316 111645 124050 148860 186075 223290 248100 372150 446580 558225 744300 1116450 2232900