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199473252 = 2231129107487
BaseRepresentation
bin10111110001110…
…11100001100100
3111220100021212020
423320323201210
5402031121002
631443223140
74641331446
oct1370734144
9456307766
10199473252
11a2663230
1256977ab0
1332431614
141c6c6496
15127a32bc
hexbe3b864

199473252 has 96 divisors (see below), whose sum is σ = 531256320. Its totient is φ = 57697920.

The previous prime is 199473247. The next prime is 199473269. The reversal of 199473252 is 252374991.

199473252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409353 + ... + 409839.

It is an arithmetic number, because the mean of its divisors is an integer number (5533920).

Almost surely, 2199473252 is an apocalyptic number.

199473252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 14123×14124.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199473252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265628160).

199473252 is an abundant number, since it is smaller than the sum of its proper divisors (331783068).

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

199473252 is a wasteful number, since it uses less digits than its factorization.

199473252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 199473252 is about 14123.4999911495. The cubic root of 199473252 is about 584.2896894234.

The spelling of 199473252 in words is "one hundred ninety-nine million, four hundred seventy-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 107 116 132 174 214 319 321 348 428 487 638 642 957 974 1177 1276 1284 1461 1914 1948 2354 2922 3103 3531 3828 4708 5357 5844 6206 7062 9309 10714 12412 14123 14124 16071 18618 21428 28246 32142 34133 37236 42369 52109 56492 64284 68266 84738 102399 104218 136532 155353 156327 169476 204798 208436 310706 312654 409596 466059 573199 621412 625308 932118 1146398 1511161 1719597 1864236 2292796 3022322 3439194 4533483 6044644 6878388 9066966 16622771 18133932 33245542 49868313 66491084 99736626 199473252