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2234210432 = 2723898527
BaseRepresentation
bin1000010100101011…
…0101100010000000
312202201001122112112
42011022311202000
514033424213212
61005410514452
7106236322016
oct20512654200
95681048475
102234210432
11a47176403
12524295a28
13297b4bc0c
14172a248b6
15d1228422
hex852b5880

2234210432 has 64 divisors (see below), whose sum is σ = 4697222400. Its totient is φ = 1056405504.

The previous prime is 2234210369. The next prime is 2234210441. The reversal of 2234210432 is 2340124322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 2234210398 and 2234210407.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 257753 + ... + 266279.

It is an arithmetic number, because the mean of its divisors is an integer number (73394100).

Almost surely, 22234210432 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 2234210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348611200).

2234210432 is an abundant number, since it is smaller than the sum of its proper divisors (2463011968).

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

2234210432 is an equidigital number, since it uses as much as digits as its factorization.

2234210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8653 (or 8641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2234210432 is about 47267.4352170710. The cubic root of 2234210432 is about 1307.2982859650.

Adding to 2234210432 its reverse (2340124322), we get a palindrome (4574334754).

The spelling of 2234210432 in words is "two billion, two hundred thirty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 356 368 712 736 1424 1472 2047 2848 2944 4094 5696 8188 8527 11392 16376 17054 32752 34108 65504 68216 131008 136432 196121 262016 272864 392242 545728 758903 784484 1091456 1517806 1568968 3035612 3137936 6071224 6275872 12142448 12551744 17454769 24284896 25103488 34909538 48569792 69819076 97139584 139638152 279276304 558552608 1117105216 2234210432