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216860904 = 233213443523
BaseRepresentation
bin11001110110100…
…00100011101000
3120010001200020100
430323100203220
5421004022104
633304025400
75242200351
oct1473204350
9503050210
10216860904
11101459897
1260762260
1335c0b980
1420b30d28
151408a139
hexced08e8

216860904 has 96 divisors (see below), whose sum is σ = 635150880. Its totient is φ = 66448512.

The previous prime is 216860893. The next prime is 216860921. The reversal of 216860904 is 409068612.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414387 + ... + 414909.

It is an arithmetic number, because the mean of its divisors is an integer number (6616155).

Almost surely, 2216860904 is an apocalyptic number.

216860904 is a gapful number since it is divisible by the number (24) 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 216860904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317575440).

216860904 is an abundant number, since it is smaller than the sum of its proper divisors (418289976).

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

216860904 is a wasteful number, since it uses less digits than its factorization.

216860904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 216860904 is about 14726.1978799689. The cubic root of 216860904 is about 600.7960766362.

The spelling of 216860904 in words is "two hundred sixteen million, eight hundred sixty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 443 468 523 886 936 1046 1329 1569 1772 2092 2658 3138 3544 3987 4184 4707 5316 5759 6276 6799 7974 9414 10632 11518 12552 13598 15948 17277 18828 20397 23036 27196 31896 34554 37656 40794 46072 51831 54392 61191 69108 81588 103662 122382 138216 163176 207324 231689 244764 414648 463378 489528 695067 926756 1390134 1853512 2085201 2780268 3011957 4170402 5560536 6023914 8340804 9035871 12047828 16681608 18071742 24095656 27107613 36143484 54215226 72286968 108430452 216860904