Base | Representation |
---|---|
bin | 1100101010001… |
… | …10110100000000 |
3 | 21101211022211111 |
4 | 12111012310000 |
5 | 204141234344 |
6 | 14312053104 |
7 | 2426436661 |
oct | 625066400 |
9 | 241738744 |
10 | 106196224 |
11 | 54a43882 |
12 | 2b694194 |
13 | 19002c04 |
14 | 10165368 |
15 | 94ca834 |
hex | 6546d00 |
106196224 has 72 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 50958336.
The previous prime is 106196203. The next prime is 106196243. The reversal of 106196224 is 422691601.
It is a super-2 number, since 2×1061962242 = 22555275983716352, 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 7 ways as a sum of consecutive naturals, for example, 1193172 + ... + 1193260.
It is an arithmetic number, because the mean of its divisors is an integer number (3066000).
Almost surely, 2106196224 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 106196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).
106196224 is an abundant number, since it is smaller than the sum of its proper divisors (114555776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106196224 is an frugal number, since it uses more digits than its factorization.
106196224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 243 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 31.
The square root of 106196224 is about 10305.1552147457. The cubic root of 106196224 is about 473.5541987604.
The spelling of 106196224 in words is "one hundred six million, one hundred ninety-six thousand, two hundred twenty-four".
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