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299230880400 = 24365210132
BaseRepresentation
bin1000101101010111000…
…11001110001010010000
31001121100220200201000000
410112223203032022100
514400311101133100
6345244220130000
730422135342214
oct4265343161220
91047326621000
10299230880400
111059a3038371
1249bab996900
13222a969b65a
14106a8d34944
157bb4dd6900
hex45ab8ce290

299230880400 has 315 divisors, whose sum is σ = 1078925289259. Its totient is φ = 79716130560.

The previous prime is 299230880387. The next prime is 299230880423. The reversal of 299230880400 is 4088032992.

The square root of 299230880400 is 547020.

It is a perfect power (a square), and thus also a powerful number.

299230880400 is a `hidden beast` number, since 2 + 9 + 9 + 230 + 8 + 8 + 0 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178594140816 + 120636739584 = 422604^2 + 347328^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 295390294 + ... + 295391306.

Almost surely, 2299230880400 is an apocalyptic number.

299230880400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

299230880400 is the 547020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299230880400

299230880400 is an abundant number, since it is smaller than the sum of its proper divisors (779694408859).

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

299230880400 is an frugal number, since it uses more digits than its factorization.

299230880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 299230880400 in words is "two hundred ninety-nine billion, two hundred thirty million, eight hundred eighty thousand, four hundred".