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219368664 = 233223132469
BaseRepresentation
bin11010001001101…
…00110011011000
3120021210002020100
431010310303120
5422124244124
633433455400
75302413534
oct1504646330
9507702210
10219368664
11102911a19
1261571560
13365a9258
14211c4bc4
15143d31c9
hexd134cd8

219368664 has 48 divisors (see below), whose sum is σ = 619959600. Its totient is φ = 69943104.

The previous prime is 219368659. The next prime is 219368717. The reversal of 219368664 is 466863912.

It is a super-2 number, since 2×2193686642 = 96245221490289792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 64579 + ... + 67890.

It is an arithmetic number, because the mean of its divisors is an integer number (12915825).

Almost surely, 2219368664 is an apocalyptic number.

219368664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219368664 is an abundant number, since it is smaller than the sum of its proper divisors (400590936).

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

219368664 is a wasteful number, since it uses less digits than its factorization.

219368664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132504 (or 132497 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 219368664 is about 14811.0993514999. The cubic root of 219368664 is about 603.1030573921.

The spelling of 219368664 in words is "two hundred nineteen million, three hundred sixty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 132469 264938 397407 529876 794814 1059752 1192221 1589628 2384442 3046787 3179256 4768884 6093574 9140361 9537768 12187148 18280722 24374296 27421083 36561444 54842166 73122888 109684332 219368664