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2285210200 = 2352713241521
BaseRepresentation
bin1000100000110101…
…1000101001011000
312220021000201001211
42020031120221120
514140003211300
61014431552504
7110425652260
oct21015305130
95807021054
102285210200
11a72a3a279
1253938b734
132a55973b0
141796dc7a0
15d594e4ba
hex88358a58

2285210200 has 192 divisors, whose sum is σ = 6578953920. Its totient is φ = 718848000.

The previous prime is 2285210119. The next prime is 2285210201. The reversal of 2285210200 is 20125822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285210201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4385940 + ... + 4386460.

It is an arithmetic number, because the mean of its divisors is an integer number (34265385).

Almost surely, 22285210200 is an apocalyptic number.

2285210200 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 2285210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289476960).

2285210200 is an abundant number, since it is smaller than the sum of its proper divisors (4293743720).

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

2285210200 is a wasteful number, since it uses less digits than its factorization.

2285210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2285210200 is about 47803.8722280947. The cubic root of 2285210200 is about 1317.1706692692.

The spelling of 2285210200 in words is "two billion, two hundred eighty-five million, two hundred ten thousand, two hundred".