Base | Representation |
---|---|
bin | 10000110011011010… |
… | …01001100000010000 |
3 | 212021200222110111100 |
4 | 20121231021200100 |
5 | 121433411403100 |
6 | 4051055344400 |
7 | 436360636542 |
oct | 103155114020 |
9 | 25250873440 |
10 | 9021200400 |
11 | 390a261423 |
12 | 18b9222100 |
13 | b09c93c04 |
14 | 618173692 |
15 | 37beb8400 |
hex | 219b49810 |
9021200400 has 135 divisors (see below), whose sum is σ = 31325860189. Its totient is φ = 2404133760.
The previous prime is 9021200387. The next prime is 9021200413. The reversal of 9021200400 is 40021209.
The square root of 9021200400 is 94980.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (9021200387) and next prime (9021200413).
It can be written as a sum of positive squares in only one way, i.e., 3247632144 + 5773568256 = 56988^2 + 75984^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5698009 + ... + 5699591.
Almost surely, 29021200400 is an apocalyptic number.
9021200400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
9021200400 is the 94980-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9021200400
9021200400 is an abundant number, since it is smaller than the sum of its proper divisors (22304659789).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9021200400 is a wasteful number, since it uses less digits than its factorization.
9021200400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3190 (or 1593 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The cubic root of 9021200400 is about 2081.7158240926.
Multiplying 9021200400 by its product of nonzero digits (144), we get a square (1299052857600 = 11397602).
9021200400 divided by its product of nonzero digits (144) gives a square (62647225 = 79152).
Adding to 9021200400 its reverse (40021209), we get a palindrome (9061221609).
The spelling of 9021200400 in words is "nine billion, twenty-one million, two hundred thousand, four hundred".
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