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2234466000 = 243453131061
BaseRepresentation
bin1000010100101111…
…0011111011010000
312202201112122010000
42011023303323100
514034010403000
61005420210000
7106241435064
oct20513637320
95681478100
102234466000
11a47330418
12524399900
13297c0b340
14172a8daa4
15d1279000
hex852f3ed0

2234466000 has 400 divisors, whose sum is σ = 8700099408. Its totient is φ = 549504000.

The previous prime is 2234465993. The next prime is 2234466041. The reversal of 2234466000 is 6644322.

2234466000 is a `hidden beast` number, since 22 + 34 + 4 + 6 + 600 + 0 = 666.

2234466000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 971942976 + 1262523024 = 31176^2 + 35532^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2105470 + ... + 2106530.

Almost surely, 22234466000 is an apocalyptic number.

2234466000 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 2234466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350049704).

2234466000 is an abundant number, since it is smaller than the sum of its proper divisors (6465633408).

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

2234466000 is a wasteful number, since it uses less digits than its factorization.

2234466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2234466000 is about 47270.1385654834. The cubic root of 2234466000 is about 1307.3481306984.

The spelling of 2234466000 in words is "two billion, two hundred thirty-four million, four hundred sixty-six thousand".