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2285210880 = 283653179
BaseRepresentation
bin1000100000110101…
…1000110100000000
312220021000202000000
42020031120310000
514140003222010
61014432000000
7110425654251
oct21015306400
95807022000
102285210880
11a72a3a837
12539390000
132a55977b4
141796dcb28
15d594e7c0
hex88358d00

2285210880 has 504 divisors, whose sum is σ = 8578913280. Its totient is φ = 582266880.

The previous prime is 2285210867. The next prime is 2285210881. The reversal of 2285210880 is 880125822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285210881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28926681 + ... + 28926759.

Almost surely, 22285210880 is an apocalyptic number.

2285210880 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 2285210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289456640).

2285210880 is an abundant number, since it is smaller than the sum of its proper divisors (6293702400).

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

2285210880 is an frugal number, since it uses more digits than its factorization.

2285210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2285210880 is about 47803.8793404887. The cubic root of 2285210880 is about 1317.1707999174.

The spelling of 2285210880 in words is "two billion, two hundred eighty-five million, two hundred ten thousand, eight hundred eighty".