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213671216 = 24118314627
BaseRepresentation
bin11001011110001…
…01110100110000
3112220001121210202
430233011310300
5414144434331
633111414332
75203114103
oct1457056460
9486047722
10213671216
11aa680390
125b6843a8
1335362b95
142054073a
1513b59ecb
hexcbc5d30

213671216 has 40 divisors (see below), whose sum is σ = 457095744. Its totient is φ = 95946560.

The previous prime is 213671209. The next prime is 213671231. The reversal of 213671216 is 612176312.

213671216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295 + ... + 21921.

Almost surely, 2213671216 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 213671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228547872).

213671216 is an abundant number, since it is smaller than the sum of its proper divisors (243424528).

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

213671216 is a wasteful number, since it uses less digits than its factorization.

213671216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729 (or 14723 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 213671216 is about 14617.4969129465. The cubic root of 213671216 is about 597.8359225171.

The spelling of 213671216 in words is "two hundred thirteen million, six hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 83 88 166 176 332 664 913 1328 1826 3652 7304 14608 14627 29254 58508 117016 160897 234032 321794 643588 1214041 1287176 2428082 2574352 4856164 9712328 13354451 19424656 26708902 53417804 106835608 213671216