Search a number
-
+
218992267208 = 23112134892
BaseRepresentation
bin1100101111110011110…
…1001100111111001000
3202221020221120211020102
43023330331030333020
512041444010022313
6244334220144532
721551555362301
oct3137475147710
9687227524212
10218992267208
1184968475700
1236538098148
131785ccb0000
14a8566057a8
155a6a9d2a58
hex32fcf4cfc8

218992267208 has 180 divisors, whose sum is σ = 494497360245. Its totient is φ = 90852453120.

The previous prime is 218992267171. The next prime is 218992267211. The reversal of 218992267208 is 802762299812.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 176216927524 + 42775339684 = 419782^2 + 206822^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330902.

It is a super-2 number, since 2×2189922672082 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2460587228 + ... + 2460587316.

Almost surely, 2218992267208 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 218992267208

218992267208 is an abundant number, since it is smaller than the sum of its proper divisors (275505093037).

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

218992267208 is an frugal number, since it uses more digits than its factorization.

218992267208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 218992267208 in words is "two hundred eighteen billion, nine hundred ninety-two million, two hundred sixty-seven thousand, two hundred eight".