Base | Representation |
---|---|
bin | 1000010001010111… |
… | …0011000111010100 |
3 | 12201201220021110220 |
4 | 2010111303013110 |
5 | 14021344310100 |
6 | 1004152514340 |
7 | 106010203650 |
oct | 20425630724 |
9 | 5651807426 |
10 | 2220306900 |
11 | a3a33a489 |
12 | 51b6ab9b0 |
13 | 294cc1686 |
14 | 170c45a60 |
15 | cedcdaa0 |
hex | 845731d4 |
2220306900 has 144 divisors (see below), whose sum is σ = 7356862464. Its totient is φ = 506459520.
The previous prime is 2220306889. The next prime is 2220306919. The reversal of 2220306900 is 96030222.
It is a super-2 number, since 2×22203069002 = 9859525460375220000, which contains 22 as substring.
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, 1559589 + ... + 1561011.
Almost surely, 22220306900 is an apocalyptic number.
2220306900 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 2220306900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678431232).
2220306900 is an abundant number, since it is smaller than the sum of its proper divisors (5136555564).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220306900 is a wasteful number, since it uses less digits than its factorization.
2220306900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 24.
The square root of 2220306900 is about 47120.1326398812. The cubic root of 2220306900 is about 1304.5808609770.
The spelling of 2220306900 in words is "two billion, two hundred twenty million, three hundred six thousand, nine hundred".
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