| Base | Representation |
|---|---|
| bin | 10111110111010… |
| … | …11001010000000 |
| 3 | 111221200211200020 |
| 4 | 23323223022000 |
| 5 | 402222131030 |
| 6 | 31510453440 |
| 7 | 4650416004 |
| oct | 1373531200 |
| 9 | 457624606 |
| 10 | 200192640 |
| 11 | a300476a |
| 12 | 57064280 |
| 13 | 32623bab |
| 14 | 1c832704 |
| 15 | 12896510 |
| hex | beeb280 |
200192640 has 128 divisors (see below), whose sum is σ = 643921920. Its totient is φ = 52899840.
The previous prime is 200192623. The next prime is 200192651. The reversal of 200192640 is 46291002.
200192640 is digitally balanced in base 2 and base 3, because in such bases 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 (128).
It is a super-2 number, since 2×2001926402 = 80154186220339200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 200192640.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243430 + ... + 244250.
It is an arithmetic number, because the mean of its divisors is an integer number (5030640).
Almost surely, 2200192640 is an apocalyptic number.
200192640 is a gapful number since it is divisible by the number (20) 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 200192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321960960).
200192640 is an abundant number, since it is smaller than the sum of its proper divisors (443729280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200192640 is a wasteful number, since it uses less digits than its factorization.
200192640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 970 (or 958 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 200192640 is about 14148.9448369834. The cubic root of 200192640 is about 584.9912483167.
The spelling of 200192640 in words is "two hundred million, one hundred ninety-two thousand, six hundred forty".
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