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199029780 = 223253832887
BaseRepresentation
bin10111101110011…
…11010000010100
3111212111202112100
423313033100110
5401422423110
631425522100
74634503515
oct1367172024
9455452470
10199029780
11a2390024
12567a3330
1332307801
141c60ca0c
1512716bc0
hexbdcf414

199029780 has 72 divisors (see below), whose sum is σ = 605509632. Its totient is φ = 52917696.

The previous prime is 199029773. The next prime is 199029781. The reversal of 199029780 is 87920991.

It is a super-2 number, since 2×1990297802 = 79225706653696800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199029781) 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, 67497 + ... + 70383.

It is an arithmetic number, because the mean of its divisors is an integer number (8409856).

Almost surely, 2199029780 is an apocalyptic number.

199029780 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 199029780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302754816).

199029780 is an abundant number, since it is smaller than the sum of its proper divisors (406479852).

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

199029780 is a wasteful number, since it uses less digits than its factorization.

199029780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 199029780 is about 14107.7914642938. The cubic root of 199029780 is about 583.8563675356.

It can be divided in two parts, 199029 and 780, that added together give a square (199809 = 4472).

The spelling of 199029780 in words is "one hundred ninety-nine million, twenty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 2887 3447 3830 4596 5745 5774 6894 7660 8661 11490 11548 13788 14435 17235 17322 22980 25983 28870 34470 34644 43305 51966 57740 68940 86610 103932 129915 173220 259830 519660 1105721 2211442 3317163 4422884 5528605 6634326 9951489 11057210 13268652 16585815 19902978 22114420 33171630 39805956 49757445 66343260 99514890 199029780