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216132630 = 23572147029
BaseRepresentation
bin11001110000111…
…10110000010110
3120001200200020020
430320132300112
5420312221010
633240250010
75233045200
oct1470366026
9501620206
10216132630
1110100170a
1260470906
1335a1533c
14209c1770
1513e94470
hexce1ec16

216132630 has 48 divisors (see below), whose sum is σ = 603411120. Its totient is φ = 49401408.

The previous prime is 216132599. The next prime is 216132647. The reversal of 216132630 is 36231612.

It is a happy number.

216132630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216132630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72045 + ... + 74984.

It is an arithmetic number, because the mean of its divisors is an integer number (12571065).

Almost surely, 2216132630 is an apocalyptic number.

216132630 is an abundant number, since it is smaller than the sum of its proper divisors (387278490).

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

216132630 is a wasteful number, since it uses less digits than its factorization.

216132630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147053 (or 147046 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 216132630 is about 14701.4499284934. The cubic root of 216132630 is about 600.1227804288.

The spelling of 216132630 in words is "two hundred sixteen million, one hundred thirty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 147029 294058 441087 735145 882174 1029203 1470290 2058406 2205435 3087609 4410870 5146015 6175218 7204421 10292030 14408842 15438045 21613263 30876090 36022105 43226526 72044210 108066315 216132630