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2234512288 = 253717310909
BaseRepresentation
bin1000010100101111…
…1111001110100000
312202201121222121101
42011023333032200
514034013343123
61005421204144
7106242020041
oct20513771640
95681558541
102234512288
11a47362178
12524400654
13297c26428
14172aa28c8
15d1287aad
hex852ff3a0

2234512288 has 48 divisors (see below), whose sum is σ = 4544625960. Its totient is φ = 1080677376.

The previous prime is 2234512279. The next prime is 2234512331. The reversal of 2234512288 is 8822154322.

2234512288 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 4 ways, for example, as 2225197584 + 9314704 = 47172^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199378 + ... + 210286.

Almost surely, 22234512288 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 2234512288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272312980).

2234512288 is an abundant number, since it is smaller than the sum of its proper divisors (2310113672).

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

2234512288 is a wasteful number, since it uses less digits than its factorization.

2234512288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11129 (or 11121 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 2234512288 is about 47270.6281743748. The cubic root of 2234512288 is about 1307.3571580771.

The spelling of 2234512288 in words is "two billion, two hundred thirty-four million, five hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 173 296 346 592 692 1184 1384 2768 5536 6401 10909 12802 21818 25604 43636 51208 87272 102416 174544 204832 349088 403633 807266 1614532 1887257 3229064 3774514 6458128 7549028 12916256 15098056 30196112 60392224 69828509 139657018 279314036 558628072 1117256144 2234512288