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2234323440 = 24345379319
BaseRepresentation
bin1000010100101101…
…0001000111110000
312202201021101120000
42011023101013300
514033441322230
61005413150000
7106240302336
oct20513210760
95681241500
102234323440
11a472432a8
1252432b300
13297b8b49b
14172a53b56
15d124bb60
hex852d11f0

2234323440 has 200 divisors, whose sum is σ = 7970724960. Its totient is φ = 579654144.

The previous prime is 2234323423. The next prime is 2234323453. The reversal of 2234323440 is 443234322.

2234323440 is a `hidden beast` number, since 223 + 432 + 3 + 4 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235101 + ... + 244419.

Almost surely, 22234323440 is an apocalyptic number.

2234323440 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 2234323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985362480).

2234323440 is an abundant number, since it is smaller than the sum of its proper divisors (5736401520).

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

2234323440 is a wasteful number, since it uses less digits than its factorization.

2234323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2234323440 is about 47268.6306127013. The cubic root of 2234323440 is about 1307.3203269617.

Adding to 2234323440 its reverse (443234322), we get a palindrome (2677557762).

The spelling of 2234323440 in words is "two billion, two hundred thirty-four million, three hundred twenty-three thousand, four hundred forty".