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214216654230 = 232561264714741
BaseRepresentation
bin1100011110000001001…
…1101011110110010110
3202110221010102112210200
43013200103223312112
512002203430413410
6242224302201330
721322326342345
oct3074023536626
9673833375720
10214216654230
1182937797a17
1235624883246
131727b796907
14a522273b5c
15588b6013c0
hex31e04ebd96

214216654230 has 96 divisors (see below), whose sum is σ = 566346126528. Its totient is φ = 56162937600.

The previous prime is 214216654229. The next prime is 214216654241. The reversal of 214216654230 is 32456612412.

214216654230 is a `hidden beast` number, since 2 + 1 + 4 + 21 + 66 + 542 + 30 = 666.

214216654230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 14524660 + ... + 14539400.

It is an arithmetic number, because the mean of its divisors is an integer number (5899438818).

Almost surely, 2214216654230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214216654230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283173063264).

214216654230 is an abundant number, since it is smaller than the sum of its proper divisors (352129472298).

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

214216654230 is a wasteful number, since it uses less digits than its factorization.

214216654230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17462 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 214216654230 in words is "two hundred fourteen billion, two hundred sixteen million, six hundred fifty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2647 2745 5294 5490 7941 13235 14741 15882 23823 26470 29482 39705 44223 47646 73705 79410 88446 119115 132669 147410 161467 221115 238230 265338 322934 442230 484401 663345 807335 899201 968802 1326690 1453203 1614670 1798402 2422005 2697603 2906406 4496005 4844010 5395206 7266015 8092809 8992010 13488015 14532030 16185618 26976030 39019427 40464045 78038854 80928090 117058281 195097135 234116562 351174843 390194270 585291405 702349686 1170582810 1755874215 2380185047 3511748430 4760370094 7140555141 11900925235 14281110282 21421665423 23801850470 35702775705 42843330846 71405551410 107108327115 214216654230