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235121224 = 23134167823
BaseRepresentation
bin11100000001110…
…10101001001000
3121101102101200111
432000322221020
5440142334344
635155244104
75553332422
oct1600725110
9541371614
10235121224
111107a1068
12668a9634
13399332b0
1423325812
1515995834
hexe03aa48

235121224 has 64 divisors (see below), whose sum is σ = 494202240. Its totient is φ = 104163840.

The previous prime is 235121221. The next prime is 235121231. The reversal of 235121224 is 422121532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 235121195 and 235121204.

It is not an unprimeable number, because it can be changed into a prime (235121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285277 + ... + 286099.

It is an arithmetic number, because the mean of its divisors is an integer number (7721910).

Almost surely, 2235121224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247101120).

235121224 is an abundant number, since it is smaller than the sum of its proper divisors (259081016).

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

235121224 is a wasteful number, since it uses less digits than its factorization.

235121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 235121224 is about 15333.6630979033. The cubic root of 235121224 is about 617.2066708256.

Adding to 235121224 its reverse (422121532), we get a palindrome (657242756).

The spelling of 235121224 in words is "two hundred thirty-five million, one hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 67 82 104 134 164 268 328 533 536 823 871 1066 1646 1742 2132 2747 3292 3484 4264 5494 6584 6968 10699 10988 21398 21976 33743 35711 42796 55141 67486 71422 85592 110282 134972 142844 220564 269944 285688 438659 441128 716833 877318 1433666 1754636 2260781 2867332 3509272 4521562 5734664 9043124 18086248 29390153 58780306 117560612 235121224