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231406320 = 243519311637
BaseRepresentation
bin11011100101011…
…11101011110000
3121010102122210110
431302233223300
5433220000240
634543501320
75506630665
oct1562575360
9533378713
10231406320
11109693aa2
12655b7840
1338c32422
1422a39a6c
15154aec80
hexdcafaf0

231406320 has 160 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 56540160.

The previous prime is 231406309. The next prime is 231406327. The reversal of 231406320 is 23604132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231406327) 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, 140542 + ... + 142178.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2231406320 is an apocalyptic number.

231406320 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 231406320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

231406320 is an abundant number, since it is smaller than the sum of its proper divisors (548543760).

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

231406320 is a wasteful number, since it uses less digits than its factorization.

231406320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 231406320 is about 15212.0452273848. The cubic root of 231406320 is about 613.9387872358.

The spelling of 231406320 in words is "two hundred thirty-one million, four hundred six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1637 1767 1860 2280 2356 2480 2945 3274 3534 3720 4560 4712 4911 5890 6548 7068 7440 8185 8835 9424 9822 11780 13096 14136 16370 17670 19644 23560 24555 26192 28272 31103 32740 35340 39288 47120 49110 50747 62206 65480 70680 78576 93309 98220 101494 124412 130960 141360 152241 155515 186618 196440 202988 248824 253735 304482 311030 373236 392880 405976 466545 497648 507470 608964 622060 746472 761205 811952 933090 964193 1014940 1217928 1244120 1492944 1522410 1866180 1928386 2029880 2435856 2488240 2892579 3044820 3732360 3856772 4059760 4820965 5785158 6089640 7464720 7713544 9641930 11570316 12179280 14462895 15427088 19283860 23140632 28925790 38567720 46281264 57851580 77135440 115703160 231406320