Search a number
-
+
223333241233140 = 2232523123743609723
BaseRepresentation
bin110010110001111011010010…
…100000101001111011110100
31002021202110010120112110210100
4302301323102200221323310
5213233042434223430030
62110553512531154100
765020202625340263
oct6261732240517364
91067673116473710
10223333241233140
1165185106432865
122106b58a745930
139780307940c1c
143d2155a9a45da
151ac4624297360
hexcb1ed2829ef4

223333241233140 has 144 divisors (see below), whose sum is σ = 707469737240448. Its totient is φ = 56920106909952.

The previous prime is 223333241233097. The next prime is 223333241233189. The reversal of 223333241233140 is 41332142333322.

223333241233140 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 3 + 324 + 12 + 3 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223333241233095 and 223333241233104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16683682 + ... + 26926041.

It is an arithmetic number, because the mean of its divisors is an integer number (4912984286392).

Almost surely, 2223333241233140 is an apocalyptic number.

223333241233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223333241233140 is an abundant number, since it is smaller than the sum of its proper divisors (484136496007308).

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

223333241233140 is a wasteful number, since it uses less digits than its factorization.

223333241233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43610998 (or 43610993 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 223333241233140 its reverse (41332142333322), we get a palindrome (264665383566462).

The spelling of 223333241233140 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, two hundred forty-one million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1237 1380 2070 2474 3711 4140 4948 6185 7422 11133 12370 14844 18555 22266 24740 28451 37110 44532 55665 56902 74220 85353 111330 113804 142255 170706 222660 256059 284510 341412 426765 512118 569020 853530 1024236 1280295 1707060 2560590 5121180 43609723 87219446 130829169 174438892 218048615 261658338 392487507 436097230 523316676 654145845 784975014 872194460 1003023629 1308291690 1569950028 1962437535 2006047258 2616583380 3009070887 3924875070 4012094516 5015118145 6018141774 7849750140 9027212661 10030236290 12036283548 15045354435 18054425322 20060472580 30090708870 36108850644 45136063305 53945227351 60181417740 90272126610 107890454702 161835682053 180544253220 215780909404 269726136755 323671364106 485507046159 539452273510 647342728212 809178410265 971014092318 1078904547020 1240740229073 1618356820530 1942028184636 2427535230795 2481480458146 3236713641060 3722220687219 4855070461590 4962960916292 6203701145365 7444441374438 9710140923180 11166662061657 12407402290730 14888882748876 18611103436095 22333324123314 24814804581460 37222206872190 44666648246628 55833310308285 74444413744380 111666620616570 223333241233140