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2234336832 = 263371321093
BaseRepresentation
bin1000010100101101…
…0100011001000000
312202201022001221000
42011023110121000
514033442234312
61005413332000
7106240356360
oct20513243100
95681261830
102234336832
11a47252372
12524337000
13297b94600
14172a589a0
15d1250adc
hex852d4640

2234336832 has 336 divisors, whose sum is σ = 8136209280. Its totient is φ = 588736512.

The previous prime is 2234336821. The next prime is 2234336833. The reversal of 2234336832 is 2386334322.

2234336832 is a `hidden beast` number, since 223 + 43 + 368 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×22343368322 = 9984522157663592448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2234336833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2043678 + ... + 2044770.

Almost surely, 22234336832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234336832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068104640).

2234336832 is an abundant number, since it is smaller than the sum of its proper divisors (5901872448).

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

2234336832 is a wasteful number, since it uses less digits than its factorization.

2234336832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1118 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 2234336832 is about 47268.7722709190. The cubic root of 2234336832 is about 1307.3229388782.

The spelling of 2234336832 in words is "two billion, two hundred thirty-four million, three hundred thirty-six thousand, eight hundred thirty-two".