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216666468 = 223341167293
BaseRepresentation
bin11001110101000…
…01000101100100
3120002200210112000
430322201011210
5420431311333
633255525300
75240430444
oct1472410544
9502623460
10216666468
111013367a7
1260689830
1335b71315
1420ac0124
151404c713
hexcea1164

216666468 has 96 divisors (see below), whose sum is σ = 580849920. Its totient is φ = 69799680.

The previous prime is 216666451. The next prime is 216666469. The reversal of 216666468 is 864666612.

It is not an unprimeable number, because it can be changed into a prime (216666469) 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, 739330 + ... + 739622.

It is an arithmetic number, because the mean of its divisors is an integer number (6050520).

Almost surely, 2216666468 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 216666468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290424960).

216666468 is an abundant number, since it is smaller than the sum of its proper divisors (364183452).

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

216666468 is a wasteful number, since it uses less digits than its factorization.

216666468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 216666468 is about 14719.5946955071. The cubic root of 216666468 is about 600.6164663984.

The spelling of 216666468 in words is "two hundred sixteen million, six hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 167 246 293 334 369 492 501 586 668 738 879 1002 1107 1172 1476 1503 1758 2004 2214 2637 3006 3516 4428 4509 5274 6012 6847 7911 9018 10548 12013 13694 15822 18036 20541 24026 27388 31644 36039 41082 48052 48931 61623 72078 82164 97862 108117 123246 144156 146793 184869 195724 216234 246492 293586 324351 369738 432468 440379 587172 648702 739476 880758 1297404 1321137 1761516 2006171 2642274 4012342 5284548 6018513 8024684 12037026 18055539 24074052 36111078 54166617 72222156 108333234 216666468