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199791424 = 267263709
BaseRepresentation
bin10111110100010…
…01001101000000
3111220221110022101
423322021031000
5402121311144
631454120144
74644125200
oct1372111500
9456843271
10199791424
11a2860288
1256ab0054
13325133a1
141c76a400
15128176d4
hexbe89340

199791424 has 42 divisors (see below), whose sum is σ = 461196690. Its totient is φ = 85623552.

The previous prime is 199791421. The next prime is 199791439. The reversal of 199791424 is 424197991.

It can be written as a sum of positive squares in only one way, i.e., 129231424 + 70560000 = 11368^2 + 8400^2 .

It is a super-2 number, since 2×1997914242 = 79833226207895552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199791421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28719 + ... + 34990.

Almost surely, 2199791424 is an apocalyptic number.

199791424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199791424 is an abundant number, since it is smaller than the sum of its proper divisors (261405266).

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

199791424 is an equidigital number, since it uses as much as digits as its factorization.

199791424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63735 (or 63718 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 199791424 is about 14134.7594249071. The cubic root of 199791424 is about 584.6001836235.

The spelling of 199791424 in words is "one hundred ninety-nine million, seven hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 63709 127418 254836 445963 509672 891926 1019344 1783852 2038688 3121741 3567704 4077376 6243482 7135408 12486964 14270816 24973928 28541632 49947856 99895712 199791424