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2232478080 = 273257173257
BaseRepresentation
bin1000010100010000…
…1110100110000000
312202120210122012100
42011010032212000
514033003244310
61005305430400
7106215515310
oct20504164600
95676718170
102232478080
11a461a2908
1252379b400
13297693561
141726d3440
15d0ed4ec0
hex8510e980

2232478080 has 384 divisors, whose sum is σ = 9331433280. Its totient is φ = 480116736.

The previous prime is 2232478069. The next prime is 2232478081. The reversal of 2232478080 is 808742322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×22324780803 (a number of 29 digits) contains 333 as substring.

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 (2232478081) 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, 683812 + ... + 687068.

Almost surely, 22232478080 is an apocalyptic number.

2232478080 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 2232478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665716640).

2232478080 is an abundant number, since it is smaller than the sum of its proper divisors (7098955200).

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

2232478080 is a wasteful number, since it uses less digits than its factorization.

2232478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2232478080 is about 47249.1066582216. The cubic root of 2232478080 is about 1306.9603162508.

The spelling of 2232478080 in words is "two billion, two hundred thirty-two million, four hundred seventy-eight thousand, eighty".