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234155220 = 223513317947
BaseRepresentation
bin11011111010011…
…10110011010100
3121022121022120120
431331032303110
5434420431340
635122431540
75542200165
oct1575166324
9538538516
10234155220
111101a1312
12665025b0
13396856b0
142315376c
15158544d0
hexdf4ecd4

234155220 has 96 divisors (see below), whose sum is σ = 709043328. Its totient is φ = 57395712.

The previous prime is 234155213. The next prime is 234155227. The reversal of 234155220 is 22551432.

It is an interprime number because it is at equal distance from previous prime (234155213) and next prime (234155227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234155227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246787 + ... + 247733.

It is an arithmetic number, because the mean of its divisors is an integer number (7385868).

Almost surely, 2234155220 is an apocalyptic number.

234155220 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 234155220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354521664).

234155220 is an abundant number, since it is smaller than the sum of its proper divisors (474888108).

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

234155220 is a wasteful number, since it uses less digits than its factorization.

234155220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 234155220 is about 15302.1312241138. The cubic root of 234155220 is about 616.3602386353.

The spelling of 234155220 in words is "two hundred thirty-four million, one hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 317 390 634 780 947 951 1268 1585 1894 1902 2841 3170 3788 3804 4121 4735 4755 5682 6340 8242 9470 9510 11364 12311 12363 14205 16484 18940 19020 20605 24622 24726 28410 36933 41210 49244 49452 56820 61555 61815 73866 82420 123110 123630 147732 184665 246220 247260 300199 369330 600398 738660 900597 1200796 1500995 1801194 3001990 3602388 3902587 4502985 6003980 7805174 9005970 11707761 15610348 18011940 19512935 23415522 39025870 46831044 58538805 78051740 117077610 234155220