Search a number
-
+
211461430230 = 232537101362687
BaseRepresentation
bin1100010011110000010…
…1010101101111010110
3202012211002222200000100
43010330011111233112
511431033111231410
6241051040154530
721164132333331
oct3047405255726
9665732880010
10211461430230
1181753512396
1234b96008a46
1316c2ca1605b
14a340387618
1557797ad8c0
hex313c155bd6

211461430230 has 96 divisors (see below), whose sum is σ = 565225599744. Its totient is φ = 54810632448.

The previous prime is 211461430223. The next prime is 211461430289. The reversal of 211461430230 is 32034164112.

It is a happy number.

211461430230 is a `hidden beast` number, since 2 + 1 + 14 + 614 + 3 + 0 + 2 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211461430194 and 211461430203.

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, 3341947 + ... + 3404633.

It is an arithmetic number, because the mean of its divisors is an integer number (5887766664).

Almost surely, 2211461430230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211461430230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282612799872).

211461430230 is an abundant number, since it is smaller than the sum of its proper divisors (353764169514).

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

211461430230 is a wasteful number, since it uses less digits than its factorization.

211461430230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63750 (or 63747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211461430230 its reverse (32034164112), we get a palindrome (243495594342).

The spelling of 211461430230 in words is "two hundred eleven billion, four hundred sixty-one million, four hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1013 1110 1665 2026 3039 3330 5065 6078 9117 10130 15195 18234 30390 37481 45585 62687 74962 91170 112443 125374 187405 188061 224886 313435 337329 374810 376122 562215 564183 626870 674658 940305 1124430 1128366 1686645 1880610 2319419 2820915 3373290 4638838 5641830 6958257 11597095 13916514 20874771 23194190 34791285 41749542 63501931 69582570 104373855 127003862 190505793 208747710 317509655 381011586 571517379 635019310 952528965 1143034758 1905057930 2349571447 2857586895 4699142894 5715173790 7048714341 11747857235 14097428682 21146143023 23495714470 35243571705 42292286046 70487143410 105730715115 211461430230