| Base | Representation |
|---|---|
| bin | 100001000010101100000… |
| … | …100110010111000000000 |
| 3 | 22001001220002022112202000 |
| 4 | 201002230010302320000 |
| 5 | 244200222143423100 |
| 6 | 4455040214024000 |
| 7 | 323022214514340 |
| oct | 41025404627000 |
| 9 | 8031802275660 |
| 10 | 2270629670400 |
| 11 | 7a5a72287813 |
| 12 | 308091348000 |
| 13 | 1361725b4710 |
| 14 | 7bc83054d20 |
| 15 | 3e0e6e91900 |
| hex | 210ac132e00 |
2270629670400 has 3840 divisors, whose sum is σ = 11293197189120. Its totient is φ = 433166745600.
The previous prime is 2270629670363. The next prime is 2270629670437. The reversal of 2270629670400 is 40769260722.
2270629670400 is a `hidden beast` number, since 22 + 70 + 6 + 2 + 96 + 70 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (2270629670363) and next prime (2270629670437).
It is a tau number, because it is divible by the number of its divisors (3840).
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 (13) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16573939132 + ... + 16573939268.
It is an arithmetic number, because the mean of its divisors is an integer number (2940936768).
Almost surely, 22270629670400 is an apocalyptic number.
2270629670400 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 2270629670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646598594560).
2270629670400 is an abundant number, since it is smaller than the sum of its proper divisors (9022567518720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2270629670400 is a wasteful number, since it uses less digits than its factorization.
2270629670400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 215 counting only the distinct ones).
The product of its (nonzero) digits is 508032, while the sum is 45.
The spelling of 2270629670400 in words is "two trillion, two hundred seventy billion, six hundred twenty-nine million, six hundred seventy thousand, four hundred".
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