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2200211328 = 27372116933
BaseRepresentation
bin1000001100100100…
…1000111110000000
312200100002022112110
42003021020332000
514001223230303
61002154055320
7105344326200
oct20311107600
95610068473
102200211328
11a29a64377
12514a1a540
13290aa68c3
1416c2d4400
15cd25e703
hex83248f80

2200211328 has 96 divisors (see below), whose sum is σ = 6798542760. Its totient is φ = 628626432.

The previous prime is 2200211317. The next prime is 2200211333. The reversal of 2200211328 is 8231120022.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39651 + ... + 77282.

Almost surely, 22200211328 is an apocalyptic number.

2200211328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2200211328 is an abundant number, since it is smaller than the sum of its proper divisors (4598331432).

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

2200211328 is a wasteful number, since it uses less digits than its factorization.

2200211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116964 (or 116945 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2200211328 is about 46906.4103081871. The cubic root of 2200211328 is about 1300.6330896679.

The spelling of 2200211328 in words is "two billion, two hundred million, two hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 116933 233866 350799 467732 701598 818531 935464 1403196 1637062 1870928 2455593 2806392 3274124 3741856 4911186 5612784 5729717 6548248 7483712 9822372 11225568 11459434 13096496 14967424 17189151 19644744 22451136 22918868 26192992 34378302 39289488 44902272 45837736 52385984 68756604 78578976 91675472 104771968 137513208 157157952 183350944 275026416 314315904 366701888 550052832 733403776 1100105664 2200211328