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200099424 = 2537734079
BaseRepresentation
bin10111110110101…
…00011001100000
3111221112002210210
423323110121200
5402211140144
631504454120
74646550150
oct1373243140
9457462723
10200099424
11a2a50728
125701a340
13325c0635
141c80a760
1512878ab9
hexbed4660

200099424 has 96 divisors (see below), whose sum is σ = 608670720. Its totient is φ = 56374272.

The previous prime is 200099423. The next prime is 200099437. The reversal of 200099424 is 424990002.

200099424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 200099391 and 200099400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200099423) 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, 47017 + ... + 51095.

It is an arithmetic number, because the mean of its divisors is an integer number (6340320).

Almost surely, 2200099424 is an apocalyptic number.

200099424 is a gapful number since it is divisible by the number (24) 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 200099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304335360).

200099424 is an abundant number, since it is smaller than the sum of its proper divisors (408571296).

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

200099424 is a wasteful number, since it uses less digits than its factorization.

200099424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 200099424 is about 14145.6503562049. The cubic root of 200099424 is about 584.9004374356.

The spelling of 200099424 in words is "two hundred million, ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4079 4088 6132 7008 8158 8176 12237 12264 16316 16352 24474 24528 28553 32632 48948 49056 57106 65264 85659 97896 114212 130528 171318 195792 228424 297767 342636 391584 456848 595534 685272 893301 913696 1191068 1370544 1786602 2084369 2382136 2741088 3573204 4168738 4764272 6253107 7146408 8337476 9528544 12506214 14292816 16674952 25012428 28585632 33349904 50024856 66699808 100049712 200099424