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14898832200 = 233452721372
BaseRepresentation
bin11011110000000101…
…00010001101001000
31102110022210002120000
431320002202031020
5221003100112300
610502221403000
71035130661400
oct157002421510
942408702500
1014898832200
11635600316a
122a79709460
1315358b6b55
14a14a0b800
155c2ecdc00
hex3780a2348

14898832200 has 540 divisors, whose sum is σ = 60636734235. Its totient is φ = 3380590080.

The previous prime is 14898832189. The next prime is 14898832219. The reversal of 14898832200 is 223889841.

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 5 ways, for example, as 6645836484 + 8252995716 = 81522^2 + 90846^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=86310.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 134 ways as a sum of consecutive naturals, for example, 108750532 + ... + 108750668.

Almost surely, 214898832200 is an apocalyptic number.

14898832200 is a gapful number since it is divisible by the number (10) 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 14898832200

14898832200 is an abundant number, since it is smaller than the sum of its proper divisors (45737902035).

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

14898832200 is a wasteful number, since it uses less digits than its factorization.

14898832200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14898832200 in words is "fourteen billion, eight hundred ninety-eight million, eight hundred thirty-two thousand, two hundred".