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199914505924 = 227210922932
BaseRepresentation
bin1011101000101111010…
…1010100011011000100
3201010000101102010200011
42322023311110123010
511233411103142144
6231501153400004
720305032156100
oct2721365243304
9633011363604
10199914505924
1177868588241
12328b2b69004
1315b0c6b7173
1499669c8900
155300bd7a34
hex2e8bd546c4

199914505924 has 81 divisors (see below), whose sum is σ = 412143344487. Its totient is φ = 84601879488.

The previous prime is 199914505883. The next prime is 199914505939. The reversal of 199914505924 is 429505419991.

The square root of 199914505924 is 447118.

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

199914505924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93617640900 + 106296865024 = 305970^2 + 326032^2 .

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 26 ways as a sum of consecutive naturals, for example, 682301922 + ... + 682302214.

Almost surely, 2199914505924 is an apocalyptic number.

199914505924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199914505924 is the 447118-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199914505924

199914505924 is an abundant number, since it is smaller than the sum of its proper divisors (212228838563).

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

199914505924 is an equidigital number, since it uses as much as digits as its factorization.

199914505924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 58.

The spelling of 199914505924 in words is "one hundred ninety-nine billion, nine hundred fourteen million, five hundred five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 293 436 586 763 1172 1526 2051 3052 4102 5341 8204 10682 11881 14357 21364 23762 28714 31937 47524 57428 63874 83167 85849 127748 166334 171698 223559 332668 343396 447118 582169 600943 894236 1164338 1201886 1564913 2328676 2403772 3129826 3481133 4206601 6259652 6962266 8413202 9357541 13924532 16826404 18715082 24367931 37430164 48735862 65502787 97471724 131005574 170575517 262011148 341151034 458519509 682302068 917039018 1019971969 1834078036 2039943938 4079887876 7139803783 14279607566 28559215132 49978626481 99957252962 199914505924