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234235520 = 2751721529
BaseRepresentation
bin11011111011000…
…10011010000000
3121022202101201122
431331202122000
5434431014040
635124251412
75542653251
oct1575423200
9538671648
10234235520
11110246682
1266540b68
13396b30cc
1423174b28
151586d1b5
hexdf62680

234235520 has 64 divisors (see below), whose sum is σ = 592936200. Its totient is φ = 88178688.

The previous prime is 234235511. The next prime is 234235541. The reversal of 234235520 is 25532432.

It can be written as a sum of positive squares in 4 ways, for example, as 180418624 + 53816896 = 13432^2 + 7336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 234235520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 21644.

Almost surely, 2234235520 is an apocalyptic number.

234235520 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 234235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296468100).

234235520 is an abundant number, since it is smaller than the sum of its proper divisors (358700680).

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

234235520 is a wasteful number, since it uses less digits than its factorization.

234235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21565 (or 21553 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 234235520 is about 15304.7548167228. The cubic root of 234235520 is about 616.4306877311.

Adding to 234235520 its reverse (25532432), we get a palindrome (259767952).

The spelling of 234235520 in words is "two hundred thirty-four million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 21529 43058 86116 107645 172232 215290 344464 365993 430580 688928 731986 861160 1377856 1463972 1722320 1829965 2755712 2927944 3444640 3659930 5855888 6889280 7319860 11711776 13778560 14639720 23423552 29279440 46847104 58558880 117117760 234235520