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2234144220 = 2235731171139
BaseRepresentation
bin1000010100101010…
…0101010111011100
312202200221021201020
42011022211113130
514033420103340
61005405244140
7106235625000
oct20512452734
95680837636
102234144220
11a47130690
12524263650
13297b27a39
14172a08700
15d12139d0
hex852a55dc

2234144220 has 384 divisors, whose sum is σ = 8128512000. Its totient is φ = 454406400.

The previous prime is 2234144219. The next prime is 2234144221. The reversal of 2234144220 is 224414322.

It is an interprime number because it is at equal distance from previous prime (2234144219) and next prime (2234144221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234144221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16072911 + ... + 16073049.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 22234144220 is an apocalyptic number.

2234144220 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 2234144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

2234144220 is an abundant number, since it is smaller than the sum of its proper divisors (5894367780).

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

2234144220 is a wasteful number, since it uses less digits than its factorization.

2234144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2234144220 is about 47266.7348142433. The cubic root of 2234144220 is about 1307.2853716803.

Adding to 2234144220 its reverse (224414322), we get a palindrome (2458558542).

The spelling of 2234144220 in words is "two billion, two hundred thirty-four million, one hundred forty-four thousand, two hundred twenty".