Base | Representation |
---|---|
bin | 1000011001010000… |
… | …1010100101110000 |
3 | 12211001020021012220 |
4 | 2012110022211300 |
5 | 14103334330300 |
6 | 1011334521040 |
7 | 106561603044 |
oct | 20624124560 |
9 | 5731207186 |
10 | 2253433200 |
11 | a57005797 |
12 | 52a806180 |
13 | 29bb1c635 |
14 | 1753ca024 |
15 | d2c73da0 |
hex | 8650a970 |
2253433200 has 120 divisors (see below), whose sum is σ = 7413738288. Its totient is φ = 584663040.
The previous prime is 2253433199. The next prime is 2253433201. The reversal of 2253433200 is 23343522.
It is an interprime number because it is at equal distance from previous prime (2253433199) and next prime (2253433201).
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×22534332002 = 10155922373724480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2253433201) 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, 19024 + ... + 69776.
Almost surely, 22253433200 is an apocalyptic number.
2253433200 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 2253433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706869144).
2253433200 is an abundant number, since it is smaller than the sum of its proper divisors (5160305088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2253433200 is a wasteful number, since it uses less digits than its factorization.
2253433200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 50811 (or 50800 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 24.
The square root of 2253433200 is about 47470.3402136534. The cubic root of 2253433200 is about 1311.0368420590.
Adding to 2253433200 its reverse (23343522), we get a palindrome (2276776722).
The spelling of 2253433200 in words is "two billion, two hundred fifty-three million, four hundred thirty-three thousand, two hundred".
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