Search a number
-
+
223330133111220 = 223254760926060681
BaseRepresentation
bin110010110001111000011001…
…010000000111000110110100
31002021202011002222001112001200
4302301320121100013012310
5213233020103034024340
62110552240301252500
765020032614624322
oct6261703120070664
91067664088045050
10223330133111220
1165183860a33863
122106aa61864130
13977cc30a31125
143d21343c94d12
151ac44e1497330
hexcb1e194071b4

223330133111220 has 72 divisors (see below), whose sum is σ = 677448992230920. Its totient is φ = 59553448965120.

The previous prime is 223330133111219. The next prime is 223330133111243. The reversal of 223330133111220 is 22111331033322.

223330133111220 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 301 + 331 + 1 + 1 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 277461348516 + 223052671762704 = 526746^2 + 14934948^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4460721 + ... + 21599960.

It is an arithmetic number, because the mean of its divisors is an integer number (9409013780985).

Almost surely, 2223330133111220 is an apocalyptic number.

223330133111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223330133111220 is an abundant number, since it is smaller than the sum of its proper divisors (454118859119700).

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

223330133111220 is a wasteful number, since it uses less digits than its factorization.

223330133111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26108305 (or 26108300 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223330133111220 its reverse (22111331033322), we get a palindrome (245441464144542).

The spelling of 223330133111220 in words is "two hundred twenty-three trillion, three hundred thirty billion, one hundred thirty-three million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 47609 95218 142827 190436 238045 285654 428481 476090 571308 714135 856962 952180 1428270 1713924 2142405 2856540 4284810 8569620 26060681 52121362 78182043 104242724 130303405 156364086 234546129 260606810 312728172 390910215 469092258 521213620 781820430 938184516 1172730645 1563640860 2345461290 4690922580 1240722961729 2481445923458 3722168885187 4962891846916 6203614808645 7444337770374 11166506655561 12407229617290 14888675540748 18610844425935 22333013311122 24814459234580 37221688851870 44666026622244 55832533277805 74443377703740 111665066555610 223330133111220