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216101256 = 23378997149
BaseRepresentation
bin11001110000101…
…11000110001000
3120001122002012020
430320113012020
5420310220011
633235444440
75232554550
oct1470270610
9501562166
10216101256
11100a90088
1260456720
1335a03c87
14209b4160
1513e8a006
hexce17188

216101256 has 128 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 60014592.

The previous prime is 216101251. The next prime is 216101287. The reversal of 216101256 is 652101612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216101251) 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, 1450270 + ... + 1450418.

It is an arithmetic number, because the mean of its divisors is an integer number (4961250).

Almost surely, 2216101256 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 216101256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

216101256 is an abundant number, since it is smaller than the sum of its proper divisors (418938744).

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

216101256 is a wasteful number, since it uses less digits than its factorization.

216101256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 216101256 is about 14700.3828521573. The cubic root of 216101256 is about 600.0937409092.

Adding to 216101256 its reverse (652101612), we get a palindrome (868202868).

The spelling of 216101256 in words is "two hundred sixteen million, one hundred one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 97 149 168 178 194 267 291 298 356 388 447 534 582 596 623 679 712 776 894 1043 1068 1164 1192 1246 1358 1788 1869 2037 2086 2136 2328 2492 2716 3129 3576 3738 4074 4172 4984 5432 6258 7476 8148 8344 8633 12516 13261 14453 14952 16296 17266 25032 25899 26522 28906 34532 39783 43359 51798 53044 57812 60431 69064 79566 86718 92827 101171 103596 106088 115624 120862 159132 173436 181293 185654 202342 207192 241724 278481 303513 318264 346872 362586 371308 404684 483448 556962 607026 725172 742616 809368 1113924 1214052 1286317 1450344 2227848 2428104 2572634 3858951 5145268 7717902 9004219 10290536 15435804 18008438 27012657 30871608 36016876 54025314 72033752 108050628 216101256