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234160020 = 223254131729
BaseRepresentation
bin11011111010011…
…11111110010100
3121022121120011100
431331033332110
5434421110040
635122510100
75542220163
oct1575177624
9538546140
10234160020
111101a4986
1266505330
1339687933
14231553da
1515855b30
hexdf4ff94

234160020 has 72 divisors (see below), whose sum is σ = 727632360. Its totient is φ = 60917760.

The previous prime is 234159973. The next prime is 234160021. The reversal of 234160020 is 20061432.

It is a happy number.

234160020 is a `hidden beast` number, since 2 + 3 + 41 + 600 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23155344 + 211004676 = 4812^2 + 14526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 234159975 and 234160002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234160021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8485 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (10106005).

Almost surely, 2234160020 is an apocalyptic number.

234160020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234160020 is an abundant number, since it is smaller than the sum of its proper divisors (493472340).

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

234160020 is a wasteful number, since it uses less digits than its factorization.

234160020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31785 (or 31780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 234160020 is about 15302.2880642079. The cubic root of 234160020 is about 616.3644502418.

The spelling of 234160020 in words is "two hundred thirty-four million, one hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 31729 63458 95187 126916 158645 190374 285561 317290 380748 475935 571122 634580 951870 1142244 1300889 1427805 1903740 2601778 2855610 3902667 5203556 5711220 6504445 7805334 11708001 13008890 15610668 19513335 23416002 26017780 39026670 46832004 58540005 78053340 117080010 234160020