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11198200 = 2352135973
BaseRepresentation
bin101010101101…
…111011111000
3210001221001011
4222231323320
510331320300
61040003304
7164116546
oct52557370
923057034
1011198200
116359412
123900534
132421070
1416b6d96
15eb2eba
hexaadef8

11198200 has 96 divisors (see below), whose sum is σ = 28904400. Its totient is φ = 4008960.

The previous prime is 11198183. The next prime is 11198203. The reversal of 11198200 is 289111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11198203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153364 + ... + 153436.

Almost surely, 211198200 is an apocalyptic number.

11198200 is a gapful number since it is divisible by the number (10) 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 11198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14452200).

11198200 is an abundant number, since it is smaller than the sum of its proper divisors (17706200).

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

11198200 is a wasteful number, since it uses less digits than its factorization.

11198200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11198200 is about 3346.3711688933. The cubic root of 11198200 is about 223.7258018212.

The spelling of 11198200 in words is "eleven million, one hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 73 100 104 118 130 146 200 236 260 292 295 325 365 472 520 584 590 650 730 767 949 1180 1300 1460 1475 1534 1825 1898 2360 2600 2920 2950 3068 3650 3796 3835 4307 4745 5900 6136 7300 7592 7670 8614 9490 11800 14600 15340 17228 18980 19175 21535 23725 30680 34456 37960 38350 43070 47450 55991 76700 86140 94900 107675 111982 153400 172280 189800 215350 223964 279955 430700 447928 559910 861400 1119820 1399775 2239640 2799550 5599100 11198200