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2230211880 = 233451324073
BaseRepresentation
bin1000010011101110…
…0101010100101000
312202102112111120000
42010323211110220
514031413240010
61005145103000
7106160326311
oct20473452450
95672474500
102230211880
11a44995216
12522a87a60
1329707bc00
141722a3608
15d0bd87c0
hex84ee5528

2230211880 has 240 divisors, whose sum is σ = 8118952380. Its totient is φ = 548840448.

The previous prime is 2230211843. The next prime is 2230211881. The reversal of 2230211880 is 881120322.

It can be written as a sum of positive squares in 6 ways, for example, as 21399876 + 2208812004 = 4626^2 + 46998^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2230211881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 545524 + ... + 549596.

Almost surely, 22230211880 is an apocalyptic number.

2230211880 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 2230211880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059476190).

2230211880 is an abundant number, since it is smaller than the sum of its proper divisors (5888740500).

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

2230211880 is a wasteful number, since it uses less digits than its factorization.

2230211880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2230211880 is about 47225.1191634283. The cubic root of 2230211880 is about 1306.5179324783.

The spelling of 2230211880 in words is "two billion, two hundred thirty million, two hundred eleven thousand, eight hundred eighty".