| Base | Representation |
|---|---|
| bin | 1000000001011000… |
| … | …0001110001110100 |
| 3 | 12120001201211211000 |
| 4 | 2000112001301310 |
| 5 | 13402213224400 |
| 6 | 553355443300 |
| 7 | 104234251260 |
| oct | 20026016164 |
| 9 | 5501654730 |
| 10 | 2153258100 |
| 11 | a05504754 |
| 12 | 501156530 |
| 13 | 284147226 |
| 14 | 165d910a0 |
| 15 | c9087600 |
| hex | 80581c74 |
2153258100 has 288 divisors, whose sum is σ = 8049484800. Its totient is φ = 483580800.
The previous prime is 2153258057. The next prime is 2153258101. The reversal of 2153258100 is 18523512.
It is a happy number.
2153258100 is a `hidden beast` number, since 21 + 532 + 5 + 8 + 100 = 666.
It is a super-2 number, since 2×21532581002 = 9273040890431220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a zygodrome in base 6.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2153258101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1114135 + ... + 1116065.
It is an arithmetic number, because the mean of its divisors is an integer number (27949600).
Almost surely, 22153258100 is an apocalyptic number.
2153258100 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 2153258100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024742400).
2153258100 is an abundant number, since it is smaller than the sum of its proper divisors (5896226700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2153258100 is a wasteful number, since it uses less digits than its factorization.
2153258100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2020 (or 2007 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 27.
The square root of 2153258100 is about 46403.2121732968. The cubic root of 2153258100 is about 1291.3145064700.
The spelling of 2153258100 in words is "two billion, one hundred fifty-three million, two hundred fifty-eight thousand, one hundred".
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