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199198020 = 2235773289
BaseRepresentation
bin10111101111110…
…00010101000100
3111212211022022110
423313320111010
5401443314040
631433301020
74636104150
oct1367702504
9455738273
10199198020
11a249546a
1256864770
1332366268
141c654060
151274b980
hexbdf8544

199198020 has 144 divisors (see below), whose sum is σ = 653546880. Its totient is φ = 44402688.

The previous prime is 199198019. The next prime is 199198037. The reversal of 199198020 is 20891991.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 199198020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238136 + ... + 2238224.

It is an arithmetic number, because the mean of its divisors is an integer number (4538520).

Almost surely, 2199198020 is an apocalyptic number.

199198020 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 199198020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326773440).

199198020 is an abundant number, since it is smaller than the sum of its proper divisors (454348860).

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

199198020 is a wasteful number, since it uses less digits than its factorization.

199198020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The square root of 199198020 is about 14113.7528673277. The cubic root of 199198020 is about 584.0208325902.

The spelling of 199198020 in words is "one hundred ninety-nine million, one hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 89 105 140 146 178 210 219 267 292 356 365 420 438 445 511 534 623 730 876 890 1022 1068 1095 1246 1335 1460 1533 1780 1869 2044 2190 2492 2555 2670 3066 3115 3738 4380 5110 5329 5340 6132 6230 6497 7476 7665 9345 10220 10658 12460 12994 15330 15987 18690 19491 21316 25988 26645 30660 31974 32485 37303 37380 38982 45479 53290 63948 64970 74606 77964 79935 90958 97455 106580 111909 129940 136437 149212 159870 181916 186515 194910 223818 227395 272874 319740 373030 389820 447636 454790 474281 545748 559545 682185 746060 909580 948562 1119090 1364370 1422843 1897124 2238180 2371405 2728740 2845686 3319967 4742810 5691372 6639934 7114215 9485620 9959901 13279868 14228430 16599835 19919802 28456860 33199670 39839604 49799505 66399340 99599010 199198020