Base | Representation |
---|---|
bin | 100100011100011… |
… | …1111110010100100 |
3 | 10011020002210122221 |
4 | 1020320333302210 |
5 | 10001030312100 |
6 | 321203002124 |
7 | 42206325514 |
oct | 11070776244 |
9 | 3136083587 |
10 | 1222900900 |
11 | 578328601 |
12 | 2a1669344 |
13 | 166482100 |
14 | b85b1844 |
15 | 7256101a |
hex | 48e3fca4 |
1222900900 has 81 divisors (see below), whose sum is σ = 2884249641. Its totient is φ = 449854080.
The previous prime is 1222900859. The next prime is 1222900909. The reversal of 1222900900 is 90092221.
The square root of 1222900900 is 34970.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 13 ways, for example, as 1133938276 + 88962624 = 33674^2 + 9432^2 .
It is a super-2 number, since 2×12229009002 = 2990973222441620000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (1222900909) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4545966 + ... + 4546234.
Almost surely, 21222900900 is an apocalyptic number.
1222900900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1222900900 is the 34970-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1222900900
1222900900 is an abundant number, since it is smaller than the sum of its proper divisors (1661348741).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1222900900 is a wasteful number, since it uses less digits than its factorization.
1222900900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 578 (or 289 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 25.
The cubic root of 1222900900 is about 1069.3759717684.
Multiplying 1222900900 by its sum of digits (25), we get a square (30572522500 = 1748502).
1222900900 divided by its sum of digits (25) gives a square (48916036 = 69942).
The spelling of 1222900900 in words is "one billion, two hundred twenty-two million, nine hundred thousand, nine hundred".
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