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2230219992 = 23371113237193
BaseRepresentation
bin1000010011101110…
…0111010011011000
312202102112220200110
42010323213103120
514031414014432
61005145204320
7106160362050
oct20473472330
95672486613
102230219992
11a449a0320
12522a906a0
13297082800
141722a6560
15d0bdadcc
hex84ee74d8

2230219992 has 384 divisors, whose sum is σ = 7770677760. Its totient is φ = 517570560.

The previous prime is 2230219991. The next prime is 2230219997. The reversal of 2230219992 is 2999120322.

2230219992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2230219992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230219991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11555448 + ... + 11555640.

It is an arithmetic number, because the mean of its divisors is an integer number (20236140).

Almost surely, 22230219992 is an apocalyptic number.

2230219992 is a gapful number since it is divisible by the number (22) 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 2230219992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885338880).

2230219992 is an abundant number, since it is smaller than the sum of its proper divisors (5540457768).

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

2230219992 is a wasteful number, since it uses less digits than its factorization.

2230219992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 2230219992 is about 47225.2050498460. The cubic root of 2230219992 is about 1306.5195165521.

It can be divided in two parts, 2230 and 219992, that added together give a palindrome (222222).

The spelling of 2230219992 in words is "two billion, two hundred thirty million, two hundred nineteen thousand, nine hundred ninety-two".