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216538476 = 223711298081
BaseRepresentation
bin11001110100000…
…01110101101100
3120002110021221120
430322001311230
5420413212401
633253100540
75236355340
oct1472016554
9502407846
10216538476
11101259620
1260627750
1335b27c9b
1420a89620
1514024836
hexce81d6c

216538476 has 96 divisors (see below), whose sum is σ = 651732480. Its totient is φ = 54297600.

The previous prime is 216538457. The next prime is 216538477. The reversal of 216538476 is 674835612.

216538476 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (216538477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22756 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (6788880).

Almost surely, 2216538476 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 216538476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325866240).

216538476 is an abundant number, since it is smaller than the sum of its proper divisors (435194004).

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

216538476 is a wasteful number, since it uses less digits than its factorization.

216538476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8133 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 216538476 is about 14715.2463791810. The cubic root of 216538476 is about 600.4981751436.

The spelling of 216538476 in words is "two hundred sixteen million, five hundred thirty-eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8081 8932 13398 16162 24243 26796 32324 48486 56567 88891 96972 113134 169701 177782 226268 234349 266673 339402 355564 468698 533346 622237 678804 703047 937396 1066692 1244474 1406094 1640443 1866711 2488948 2577839 2812188 3280886 3733422 4921329 5155678 6561772 7466844 7733517 9842658 10311356 15467034 18044873 19685316 30934068 36089746 54134619 72179492 108269238 216538476