Search a number
-
+
2234460 = 2235167223
BaseRepresentation
bin1000100001100001011100
311012112002210
420201201130
51033000320
6115520420
724664314
oct10414134
94175083
102234460
111296868
128b9110
13603087
14422444
152e20e0
hex22185c

2234460 has 48 divisors (see below), whose sum is σ = 6322176. Its totient is φ = 589632.

The previous prime is 2234447. The next prime is 2234471. The reversal of 2234460 is 644322.

It is a super-2 number, since 2×22344602 = 9985622983200, 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 15 ways as a sum of consecutive naturals, for example, 9909 + ... + 10131.

It is an arithmetic number, because the mean of its divisors is an integer number (131712).

22234460 is an apocalyptic number.

2234460 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 2234460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161088).

2234460 is an abundant number, since it is smaller than the sum of its proper divisors (4087716).

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

2234460 is a wasteful number, since it uses less digits than its factorization.

2234460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2234460 is about 1494.8110248456. The cubic root of 2234460 is about 130.7346960531.

Adding to 2234460 its reverse (644322), we get a palindrome (2878782).

The spelling of 2234460 in words is "two million, two hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 223 334 446 501 668 669 835 892 1002 1115 1338 1670 2004 2230 2505 2676 3340 3345 4460 5010 6690 10020 13380 37241 74482 111723 148964 186205 223446 372410 446892 558615 744820 1117230 2234460