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299940238224 = 24361124612
BaseRepresentation
bin1000101110101011101…
…01001101001110010000
31001200012100110211000000
410113111311031032100
514403234200110344
6345442440130000
730445540646634
oct4272565151620
91050170424000
10299940238224
11106227499400
124a169466900
1322390636203
1410735226dc4
157c07306a69
hex45d5d4d390

299940238224 has 315 divisors, whose sum is σ = 959794897537. Its totient is φ = 90693820800.

The previous prime is 299940238219. The next prime is 299940238249. The reversal of 299940238224 is 422832049992.

The square root of 299940238224 is 547668.

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

299940238224 is a `hidden beast` number, since 2 + 9 + 9 + 9 + 402 + 3 + 8 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96142164624 + 203798073600 = 310068^2 + 451440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 650629354 + ... + 650629814.

Almost surely, 2299940238224 is an apocalyptic number.

299940238224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

299940238224 is the 547668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 299940238224

299940238224 is an abundant number, since it is smaller than the sum of its proper divisors (659854659313).

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

299940238224 is an frugal number, since it uses more digits than its factorization.

299940238224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 299940238224 in words is "two hundred ninety-nine billion, nine hundred forty million, two hundred thirty-eight thousand, two hundred twenty-four".