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2308212000 = 25325397661
BaseRepresentation
bin1000100110010100…
…1000010100100000
312221212022022121100
42021211020110200
514211400241000
61021012554400
7111125323023
oct21145102440
95855268540
102308212000
11a84a1a926
12545022a00
132aa28bc23
1417c7a91ba
15d7994a00
hex89948520

2308212000 has 288 divisors, whose sum is σ = 8288817264. Its totient is φ = 608256000.

The previous prime is 2308211987. The next prime is 2308212047. The reversal of 2308212000 is 2128032.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 216796176 + 2091415824 = 14724^2 + 45732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3491670 + ... + 3492330.

Almost surely, 22308212000 is an apocalyptic number.

2308212000 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 2308212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144408632).

2308212000 is an abundant number, since it is smaller than the sum of its proper divisors (5980605264).

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

2308212000 is a wasteful number, since it uses less digits than its factorization.

2308212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2308212000 is about 48043.8549660620. The cubic root of 2308212000 is about 1321.5752543700.

The spelling of 2308212000 in words is "two billion, three hundred eight million, two hundred twelve thousand".