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216666112 = 212132313
BaseRepresentation
bin11001110101000…
…01000000000000
3120002200210000211
430322201000000
5420431303422
633255523504
75240426425
oct1472410000
9502623024
10216666112
11101336503
1260689594
1335b71100
1420abdd4c
151404c577
hexcea1000

216666112 has 78 divisors (see below), whose sum is σ = 470671242. Its totient is φ = 99680256.

The previous prime is 216666103. The next prime is 216666137. The reversal of 216666112 is 211666612.

It can be written as a sum of positive squares in 3 ways, for example, as 25563136 + 191102976 = 5056^2 + 13824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 692068 + ... + 692380.

Almost surely, 2216666112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216666112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235335621).

216666112 is an abundant number, since it is smaller than the sum of its proper divisors (254005130).

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

216666112 is an equidigital number, since it uses as much as digits as its factorization.

216666112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 328 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 216666112 is about 14719.5826027778. The cubic root of 216666112 is about 600.6161374449.

The spelling of 216666112 in words is "two hundred sixteen million, six hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 313 338 416 512 626 676 832 1024 1252 1352 1664 2048 2504 2704 3328 4069 4096 5008 5408 6656 8138 10016 10816 13312 16276 20032 21632 26624 32552 40064 43264 52897 53248 65104 80128 86528 105794 130208 160256 173056 211588 260416 320512 346112 423176 520832 641024 692224 846352 1041664 1282048 1692704 2083328 3385408 4166656 6770816 8333312 13541632 16666624 27083264 54166528 108333056 216666112