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199496444 = 2272732191
BaseRepresentation
bin10111110010000…
…01001011111100
3111220101110200012
423321001023330
5402032341234
631443522352
74641456200
oct1371011374
9456343605
10199496444
11a26796a4
12569893b8
133243c044
141c6d0b00
15127aa0ce
hexbe412fc

199496444 has 54 divisors (see below), whose sum is σ = 413913024. Its totient is φ = 83885760.

The previous prime is 199496441. The next prime is 199496459. The reversal of 199496444 is 444694991.

It is a junction number, because it is equal to n+sod(n) for n = 199496392 and 199496401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199496441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1044389 + ... + 1044579.

It is an arithmetic number, because the mean of its divisors is an integer number (7665056).

Almost surely, 2199496444 is an apocalyptic number.

199496444 is a gapful number since it is divisible by the number (14) 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 199496444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206956512).

199496444 is an abundant number, since it is smaller than the sum of its proper divisors (214416580).

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

199496444 is a wasteful number, since it uses less digits than its factorization.

199496444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 273 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The square root of 199496444 is about 14124.3210102291. The cubic root of 199496444 is about 584.3123329294.

The spelling of 199496444 in words is "one hundred ninety-nine million, four hundred ninety-six thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 73 98 146 191 196 292 382 511 764 1022 1337 2044 2674 3577 5329 5348 7154 9359 10658 13943 14308 18718 21316 27886 37303 37436 55772 74606 97601 149212 195202 261121 390404 522242 683207 1017839 1044484 1366414 2035678 2732828 4071356 7124873 14249746 28499492 49874111 99748222 199496444