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199850028 = 223721719993
BaseRepresentation
bin10111110100101…
…11100000101100
3111221001102200220
423322113200230
5402130200103
631455251340
74644461100
oct1372274054
9457042626
10199850028
11a28a0314
1256b19b50
1332533c71
141c783900
1512829c53
hexbe9782c

199850028 has 72 divisors (see below), whose sum is σ = 574387632. Its totient is φ = 53738496.

The previous prime is 199850023. The next prime is 199850033. The reversal of 199850028 is 820058991.

It is a happy number.

199850028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

199850028 is a nontrivial binomial coefficient, being equal to C(19993, 2).

It is an interprime number because it is at equal distance from previous prime (199850023) and next prime (199850033).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (199850023) 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, 1 + ... + 19992.

It is an arithmetic number, because the mean of its divisors is an integer number (7977606).

Almost surely, 2199850028 is an apocalyptic number.

199850028 is the 19992-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199850028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287193816).

199850028 is an abundant number, since it is smaller than the sum of its proper divisors (374537604).

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

199850028 is a wasteful number, since it uses less digits than its factorization.

199850028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20031 (or 20022 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 199850028 is about 14136.8323184510. The cubic root of 199850028 is about 584.6573374947.

The spelling of 199850028 in words is "one hundred ninety-nine million, eight hundred fifty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 19993 39986 59979 79972 119958 139951 239916 279902 339881 419853 559804 679762 839706 979657 1019643 1359524 1679412 1959314 2039286 2379167 2938971 3918628 4078572 4758334 5877942 7137501 9516668 11755884 14275002 16654169 28550004 33308338 49962507 66616676 99925014 199850028