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216156141 = 33194143239
BaseRepresentation
bin11001110001001…
…00011111101101
3120001201212111000
430320210133231
5420313444031
633240550513
75233203555
oct1470443755
9501655430
10216156141
11101018343
1260482439
1335a22c56
14209ca165
1513e9b3e6
hexce247ed

216156141 has 64 divisors (see below), whose sum is σ = 354816000. Its totient is φ = 129548160.

The previous prime is 216156131. The next prime is 216156151. The reversal of 216156141 is 141651612.

216156141 is a `hidden beast` number, since 2 + 1 + 61 + 561 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (216156131) and next prime (216156151).

It is not a de Polignac number, because 216156141 - 214 = 216139757 is a prime.

It is a super-3 number, since 3×2161561413 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216156121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904300 + ... + 904538.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2216156141 is an apocalyptic number.

It is an amenable number.

216156141 is a deficient number, since it is larger than the sum of its proper divisors (138659859).

216156141 is a wasteful number, since it uses less digits than its factorization.

216156141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 216156141 is about 14702.2495217569. The cubic root of 216156141 is about 600.1445401774.

The spelling of 216156141 in words is "two hundred sixteen million, one hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 41 43 57 123 129 171 239 369 387 513 717 779 817 1107 1161 1763 2151 2337 2451 4541 5289 6453 7011 7353 9799 10277 13623 15867 21033 22059 29397 30831 33497 40869 47601 88191 92493 100491 122607 186181 195263 264573 277479 301473 421357 558543 585789 904419 1264071 1675629 1757367 3792213 5026887 5272101 8005783 11376639 24017349 72052047 216156141