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2234404000 = 255323149163
BaseRepresentation
bin1000010100101110…
…0100110010100000
312202201102111001201
42011023210302200
514034001412000
61005415010544
7106241056243
oct20513446240
95681374051
102234404000
11a47298884
12524369a54
13297bb905a
14172a7525a
15d126596a
hex852e4ca0

2234404000 has 192 divisors, whose sum is σ = 5802451200. Its totient is φ = 843955200.

The previous prime is 2234403991. The next prime is 2234404043. The reversal of 2234404000 is 4044322.

It is a super-2 number, since 2×22344040002 = 9985122470432000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13707919 + ... + 13708081.

It is an arithmetic number, because the mean of its divisors is an integer number (30221100).

Almost surely, 22234404000 is an apocalyptic number.

2234404000 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 2234404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901225600).

2234404000 is an abundant number, since it is smaller than the sum of its proper divisors (3568047200).

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

2234404000 is a wasteful number, since it uses less digits than its factorization.

2234404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2234404000 is about 47269.4827557908. The cubic root of 2234404000 is about 1307.3360388707.

Adding to 2234404000 its reverse (4044322), we get a palindrome (2238448322).

The spelling of 2234404000 in words is "two billion, two hundred thirty-four million, four hundred four thousand".