| Base | Representation |
|---|---|
| bin | 100000110111101111001… |
| … | …001011010111000000000 |
| 3 | 21222221112112112011020200 |
| 4 | 200313233021122320000 |
| 5 | 244002131213220100 |
| 6 | 4445413252405200 |
| 7 | 322124622442521 |
| oct | 40675711327000 |
| 9 | 7887475464220 |
| 10 | 2258870054400 |
| 11 | 7a0a88291203 |
| 12 | 30594b016800 |
| 13 | 13501a1a675b |
| 14 | 7b48932c848 |
| 15 | 3db598a5e00 |
| hex | 20def25ae00 |
2258870054400 has 720 divisors, whose sum is σ = 8527437959040. Its totient is φ = 569449267200.
The previous prime is 2258870054393. The next prime is 2258870054443. The reversal of 2258870054400 is 44500788522.
2258870054400 is a `hidden beast` number, since 2 + 25 + 8 + 87 + 0 + 0 + 544 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1494949645 + ... + 1494951155.
It is an arithmetic number, because the mean of its divisors is an integer number (11843663832).
Almost surely, 22258870054400 is an apocalyptic number.
2258870054400 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 2258870054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263718979520).
2258870054400 is an abundant number, since it is smaller than the sum of its proper divisors (6268567904640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2258870054400 is a wasteful number, since it uses less digits than its factorization.
2258870054400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2247 (or 2223 counting only the distinct ones).
The product of its (nonzero) digits is 716800, while the sum is 45.
The spelling of 2258870054400 in words is "two trillion, two hundred fifty-eight billion, eight hundred seventy million, fifty-four thousand, four hundred".
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