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8230900 = 2252531553
BaseRepresentation
bin11111011001011111110100
3120111011200011
4133121133310
54101342100
6452230004
7126650536
oct37313764
916434604
108230900
114711aa7
12290b304
131922572
141143856
15ac8bba
hex7d97f4

8230900 has 36 divisors (see below), whose sum is σ = 18209772. Its totient is φ = 3228160.

The previous prime is 8230891. The next prime is 8230949. The reversal of 8230900 is 90328.

It can be written as a sum of positive squares in 6 ways, for example, as 535824 + 7695076 = 732^2 + 2774^2 .

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, 4524 + ... + 6076.

It is an arithmetic number, because the mean of its divisors is an integer number (505827).

Almost surely, 28230900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8230900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104886).

8230900 is an abundant number, since it is smaller than the sum of its proper divisors (9978872).

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

8230900 is a wasteful number, since it uses less digits than its factorization.

8230900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 8230900 is about 2868.9545134073. The cubic root of 8230900 is about 201.9059458226.

The spelling of 8230900 in words is "eight million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1553 2650 3106 5300 6212 7765 15530 31060 38825 77650 82309 155300 164618 329236 411545 823090 1646180 2057725 4115450 8230900