| Base | Representation |
|---|---|
| bin | 1101000010111110101… |
| … | …0100100111111000000 |
| 3 | 210102112120011122000000 |
| 4 | 3100233222210333000 |
| 5 | 12133013311140310 |
| 6 | 250544555000000 |
| 7 | 22123230323634 |
| oct | 3205752447700 |
| 9 | 712476148000 |
| 10 | 224137990080 |
| 11 | 87069063434 |
| 12 | 37533439000 |
| 13 | 181a00a0a44 |
| 14 | abc3b9adc4 |
| 15 | 5c6c6214c0 |
| hex | 342faa4fc0 |
224137990080 has 784 divisors, whose sum is σ = 857185687200. Its totient is φ = 55628881920.
The previous prime is 224137990079. The next prime is 224137990081. The reversal of 224137990080 is 80099731422.
224137990080 is a `hidden beast` number, since 2 + 2 + 413 + 79 + 90 + 0 + 80 = 666.
224137990080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (224137990079) and next prime (224137990081).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (224137990081) by changing a digit.
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 111 ways as a sum of consecutive naturals, for example, 270371106 + ... + 270371934.
Almost surely, 2224137990080 is an apocalyptic number.
224137990080 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 224137990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428592843600).
224137990080 is an abundant number, since it is smaller than the sum of its proper divisors (633047697120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
224137990080 is an equidigital number, since it uses as much as digits as its factorization.
224137990080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 944 (or 919 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 224137990080 in words is "two hundred twenty-four billion, one hundred thirty-seven million, nine hundred ninety thousand, eighty".
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