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199993644 = 223317108929
BaseRepresentation
bin10111110101110…
…10100100101100
3111221022201201000
423322322210230
5402144244034
631502320300
74645626564
oct1372724454
9457281630
10199993644
11a2989204
1256b89090
1332584446
141c7bdda4
1512857599
hexbeba92c

199993644 has 48 divisors (see below), whose sum is σ = 549007200. Its totient is φ = 62742528.

The previous prime is 199993643. The next prime is 199993663. The reversal of 199993644 is 446399991.

199993644 is a `hidden beast` number, since 199 + 99 + 364 + 4 = 666.

199993644 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).

It is a nude number because it is divisible by every one of its digits.

199993644 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (199993643) 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, 52629 + ... + 56300.

It is an arithmetic number, because the mean of its divisors is an integer number (11437650).

Almost surely, 2199993644 is an apocalyptic number.

It is an amenable number.

199993644 is an abundant number, since it is smaller than the sum of its proper divisors (349013556).

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

199993644 is a wasteful number, since it uses less digits than its factorization.

199993644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108959 (or 108951 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 199993644 is about 14141.9109034105. The cubic root of 199993644 is about 584.7973525580.

The spelling of 199993644 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 108929 217858 326787 435716 653574 980361 1307148 1851793 1960722 2941083 3703586 3921444 5555379 5882166 7407172 11110758 11764332 16666137 22221516 33332274 49998411 66664548 99996822 199993644