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216242488 = 23721124797
BaseRepresentation
bin11001110001110…
…01100100111000
3120001220020221001
430320321210320
5420324224423
633242454344
75234013400
oct1470714470
9501806831
10216242488
11101077200
12605043b4
1335a53347
1420a0d800
1513eb6cad
hexce39938

216242488 has 144 divisors (see below), whose sum is σ = 534915360. Its totient is φ = 81607680.

The previous prime is 216242461. The next prime is 216242489. The reversal of 216242488 is 884242612.

216242488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216242489) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2229256 + ... + 2229352.

It is an arithmetic number, because the mean of its divisors is an integer number (3714690).

Almost surely, 2216242488 is an apocalyptic number.

216242488 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216242488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267457680).

216242488 is an abundant number, since it is smaller than the sum of its proper divisors (318672872).

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

216242488 is a wasteful number, since it uses less digits than its factorization.

216242488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 216242488 is about 14705.1857519720. The cubic root of 216242488 is about 600.2244419585.

The spelling of 216242488 in words is "two hundred sixteen million, two hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 49 56 77 88 94 97 98 121 154 188 194 196 242 308 329 376 388 392 484 517 539 616 658 679 776 847 968 1034 1067 1078 1316 1358 1694 2068 2134 2156 2303 2632 2716 3388 3619 4136 4268 4312 4559 4606 4753 5432 5687 5929 6776 7238 7469 8536 9118 9212 9506 11374 11737 11858 14476 14938 18236 18424 19012 22748 23474 23716 25333 28952 29876 31913 36472 38024 39809 45496 46948 47432 50149 50666 52283 59752 63826 79618 82159 93896 100298 101332 104566 127652 159236 164318 200596 202664 209132 223391 255304 278663 318472 328636 351043 401192 418264 446782 551639 557326 575113 657272 702086 893564 1103278 1114652 1150226 1404172 1787128 2206556 2229304 2300452 2457301 2808344 3861473 4413112 4600904 4914602 7722946 9829204 15445892 19658408 27030311 30891784 54060622 108121244 216242488