Search a number
-
+
233221333320 = 23345174234229
BaseRepresentation
bin1101100100110100010…
…0110010000101001000
3211021222121002021110000
43121031010302011020
512310114130131240
6255050154323000
722564304424123
oct3311504620510
9737877067400
10233221333320
118a9aa3a9678
1239249429460
1318cb9bb2061
14b4062a93ba
1560eecb2430
hex364d132148

233221333320 has 160 divisors (see below), whose sum is σ = 829993764600. Its totient is φ = 58533967872.

The previous prime is 233221333307. The next prime is 233221333321. The reversal of 233221333320 is 23333122332.

233221333320 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 2 + 1 + 333 + 320 = 666.

233221333320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 209641273956 + 23580059364 = 457866^2 + 153558^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233221333321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2062035 + ... + 2172194.

Almost surely, 2233221333320 is an apocalyptic number.

233221333320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233221333320 is an abundant number, since it is smaller than the sum of its proper divisors (596772431280).

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

233221333320 is a wasteful number, since it uses less digits than its factorization.

233221333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234269 (or 4234256 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233221333320 its reverse (23333122332), we get a palindrome (256554455652).

The spelling of 233221333320 in words is "two hundred thirty-three billion, two hundred twenty-one million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 4234229 8468458 12702687 16936916 21171145 25405374 33873832 38108061 42342290 50810748 63513435 71981893 76216122 84684580 101621496 114324183 127026870 143963786 152432244 169369160 190540305 215945679 228648366 254053740 287927572 304864488 342972549 359909465 381080610 431891358 457296732 508107480 571620915 575855144 647837037 685945098 719818930 762161220 863782716 914593464 1079728395 1143241830 1295674074 1371890196 1439637860 1524322440 1714862745 1727565432 1943511111 2159456790 2286483660 2591348148 2743780392 2879275720 3239185185 3429725490 3887022222 4318913580 4572967320 5182696296 5830533333 6478370370 6859450980 7774044444 8637827160 9717555555 11661066666 12956740740 13718901960 15548088888 19435111110 23322133332 25913481480 29152666665 38870222220 46644266664 58305333330 77740444440 116610666660 233221333320