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234216540 = 223255324551
BaseRepresentation
bin11011111010111…
…01110001011100
3121022201102200200
431331131301130
5434424412130
635124023500
75542544025
oct1575356134
9538642620
10234216540
11110233398
1266531b90
13396a758c
142316bc4c
1515867760
hexdf5dc5c

234216540 has 72 divisors (see below), whose sum is σ = 723891168. Its totient is φ = 61276800.

The previous prime is 234216533. The next prime is 234216547. The reversal of 234216540 is 45612432.

234216540 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 1 + 654 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234216533) and next prime (234216547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234216547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2736 + ... + 21815.

It is an arithmetic number, because the mean of its divisors is an integer number (10054044).

Almost surely, 2234216540 is an apocalyptic number.

234216540 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 234216540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361945584).

234216540 is an abundant number, since it is smaller than the sum of its proper divisors (489674628).

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

234216540 is a wasteful number, since it uses less digits than its factorization.

234216540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619 (or 24614 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 234216540 is about 15304.1347354236. The cubic root of 234216540 is about 616.4140375799.

Adding to 234216540 its reverse (45612432), we get a palindrome (279828972).

The spelling of 234216540 in words is "two hundred thirty-four million, two hundred sixteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 24551 49102 73653 98204 122755 147306 220959 245510 294612 368265 441918 491020 736530 883836 1104795 1301203 1473060 2209590 2602406 3903609 4419180 5204812 6506015 7807218 11710827 13012030 15614436 19518045 23421654 26024060 39036090 46843308 58554135 78072180 117108270 234216540