Base | Representation |
---|---|
bin | 101011100000… |
… | …1110001110100 |
3 | 1120221001200000 |
4 | 1113001301310 |
5 | 21320020222 |
6 | 2132551300 |
7 | 364625400 |
oct | 127016164 |
9 | 46831600 |
10 | 22813812 |
11 | 1197239a |
12 | 7782530 |
13 | 495a0c8 |
14 | 305c100 |
15 | 20099ac |
hex | 15c1c74 |
22813812 has 108 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 6504624.
The previous prime is 22813801. The next prime is 22813829. The reversal of 22813812 is 21831822.
22813812 is a `hidden beast` number, since 2 + 281 + 381 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (108).
It is a Harshad number since it is a multiple of its sum of digits (27).
Its product of digits (1536) is a multiple of the sum of its prime factors (512).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47389 + ... + 47867.
Almost surely, 222813812 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22813812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).
22813812 is an abundant number, since it is smaller than the sum of its proper divisors (46899468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22813812 is a wasteful number, since it uses less digits than its factorization.
22813812 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 512 (or 491 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 22813812 is about 4776.3806380983. The cubic root of 22813812 is about 283.6172354637.
It can be divided in two parts, 228138 and 12, that added together give a triangular number (228150 = T675).
The spelling of 22813812 in words is "twenty-two million, eight hundred thirteen thousand, eight hundred twelve".
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