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216022368 = 2534321217
BaseRepresentation
bin11001110000000…
…11110101100000
3120001111001222110
430320003311200
5420300203433
633234035320
75232105552
oct1470036540
9501431873
10216022368
11100a36891
1260418b40
13359a70b3
14209934d2
1513e71963
hexce03d60

216022368 has 72 divisors (see below), whose sum is σ = 581029848. Its totient is φ = 70275072.

The previous prime is 216022361. The next prime is 216022379. The reversal of 216022368 is 863220612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216022361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176896 + ... + 178112.

It is an arithmetic number, because the mean of its divisors is an integer number (8069859).

Almost surely, 2216022368 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 216022368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290514924).

216022368 is an abundant number, since it is smaller than the sum of its proper divisors (365007480).

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

216022368 is a wasteful number, since it uses less digits than its factorization.

216022368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 216022368 is about 14697.6994118127. The cubic root of 216022368 is about 600.0207103962.

The spelling of 216022368 in words is "two hundred sixteen million, twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1217 1376 1849 2064 2434 3651 3698 4128 4868 5547 7302 7396 9736 11094 14604 14792 19472 22188 29208 29584 38944 44376 52331 58416 59168 88752 104662 116832 156993 177504 209324 313986 418648 627972 837296 1255944 1674592 2250233 2511888 4500466 5023776 6750699 9000932 13501398 18001864 27002796 36003728 54005592 72007456 108011184 216022368