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2232238080 = 2143531293
BaseRepresentation
bin1000010100001101…
…0100000000000000
312202120100102222110
42011003110000000
514032423104310
61005300335320
7106213465512
oct20503240000
95676312873
102232238080
11a46049566
125236a4540
1329760b247
1417266dbb2
15d0e88d20
hex850d4000

2232238080 has 240 divisors, whose sum is σ = 7398526464. Its totient is φ = 574095360.

The previous prime is 2232238079. The next prime is 2232238109. The reversal of 2232238080 is 808322322.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×22322380803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618414 + ... + 7618706.

Almost surely, 22232238080 is an apocalyptic number.

2232238080 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 2232238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699263232).

2232238080 is an abundant number, since it is smaller than the sum of its proper divisors (5166288384).

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

2232238080 is an equidigital number, since it uses as much as digits as its factorization.

2232238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2232238080 is about 47246.5668594026. The cubic root of 2232238080 is about 1306.9134801482.

The spelling of 2232238080 in words is "two billion, two hundred thirty-two million, two hundred thirty-eight thousand, eighty".