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199993428 = 22337325367
BaseRepresentation
bin10111110101110…
…10100001010100
3111221022201102000
423322322201110
5402144242203
631502315300
74645626135
oct1372724124
9457281360
10199993428
11a2989028
1256b88b30
133258430b
141c7bdc8c
15128574a3
hexbeba854

199993428 has 48 divisors (see below), whose sum is σ = 525624960. Its totient is φ = 65748672.

The previous prime is 199993427. The next prime is 199993447. The reversal of 199993428 is 824399991.

199993428 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

199993428 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199993427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4800 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (10950520).

Almost surely, 2199993428 is an apocalyptic number.

199993428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199993428 is an abundant number, since it is smaller than the sum of its proper divisors (325631532).

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

199993428 is a wasteful number, since it uses less digits than its factorization.

199993428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25453 (or 25445 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 199993428 is about 14141.9032665338. The cubic root of 199993428 is about 584.7971420242.

The spelling of 199993428 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 25367 50734 76101 101468 152202 228303 304404 456606 684909 913212 1369818 1851791 2739636 3703582 5555373 7407164 11110746 16666119 22221492 33332238 49998357 66664476 99996714 199993428