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208163424 = 25371013067
BaseRepresentation
bin11000110100001…
…01001001100000
3112111200210112110
430122011021200
5411242212144
632353355320
75105234310
oct1432051140
9474623473
10208163424
11a7559297
1259868b40
1334184c31
141d909440
151341d0b9
hexc685260

208163424 has 96 divisors (see below), whose sum is σ = 630878976. Its totient is φ = 58867200.

The previous prime is 208163407. The next prime is 208163477. The reversal of 208163424 is 424361802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2081634242 = 86664022182807552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 208163391 and 208163400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66339 + ... + 69405.

It is an arithmetic number, because the mean of its divisors is an integer number (6571656).

Almost surely, 2208163424 is an apocalyptic number.

208163424 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 208163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315439488).

208163424 is an abundant number, since it is smaller than the sum of its proper divisors (422715552).

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

208163424 is a wasteful number, since it uses less digits than its factorization.

208163424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 208163424 is about 14427.8696972214. The cubic root of 208163424 is about 592.6543470844.

The spelling of 208163424 in words is "two hundred eight million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3067 3232 4242 4848 5656 6134 8484 9201 9696 11312 12268 16968 18402 21469 22624 24536 33936 36804 42938 49072 64407 67872 73608 85876 98144 128814 147216 171752 257628 294432 309767 343504 515256 619534 687008 929301 1030512 1239068 1858602 2061024 2168369 2478136 3717204 4336738 4956272 6505107 7434408 8673476 9912544 13010214 14868816 17346952 26020428 29737632 34693904 52040856 69387808 104081712 208163424