| Base | Representation |
|---|---|
| bin | 1000011110010000… |
| … | …1101100000000000 |
| 3 | 12212111201100002100 |
| 4 | 2013210031200000 |
| 5 | 14124222313030 |
| 6 | 1013404350400 |
| 7 | 110235136206 |
| oct | 20744154000 |
| 9 | 5774640070 |
| 10 | 2274416640 |
| 11 | a67937981 |
| 12 | 535845400 |
| 13 | 2a3288582 |
| 14 | 1780cd076 |
| 15 | d4a1b360 |
| hex | 8790d800 |
2274416640 has 576 divisors, whose sum is σ = 8739057600. Its totient is φ = 544997376.
The previous prime is 2274416633. The next prime is 2274416687. The reversal of 2274416640 is 466144722.
2274416640 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 4 + 1 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a hoax number, since the sum of its digits (36) 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 2274416595 and 2274416604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61470702 + ... + 61470738.
It is an arithmetic number, because the mean of its divisors is an integer number (15171975).
Almost surely, 22274416640 is an apocalyptic number.
2274416640 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 2274416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369528800).
2274416640 is an abundant number, since it is smaller than the sum of its proper divisors (6464640960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2274416640 is a wasteful number, since it uses less digits than its factorization.
2274416640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 99 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 2274416640 is about 47690.8444043508. The cubic root of 2274416640 is about 1315.0936316199.
The spelling of 2274416640 in words is "two billion, two hundred seventy-four million, four hundred sixteen thousand, six hundred forty".
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