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212224044448 = 251310315132801
BaseRepresentation
bin1100010110100110001…
…0011110110110100000
3202021210020222111001101
43011221202132312200
511434113323410243
6241254441444144
721222052420363
oct3055142366640
9667706874041
10212224044448
1182004a38779
12351694a0654
1317021a09280
14a3b37800da
1557c16ed54d
hex316989eda0

212224044448 has 96 divisors (see below), whose sum is σ = 457347002112. Its totient is φ = 96353280000.

The previous prime is 212224044343. The next prime is 212224044449. The reversal of 212224044448 is 844440422212.

212224044448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212224044449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6453648 + ... + 6486448.

It is an arithmetic number, because the mean of its divisors is an integer number (4764031272).

Almost surely, 2212224044448 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 212224044448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228673501056).

212224044448 is an abundant number, since it is smaller than the sum of its proper divisors (245122957664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212224044448 is a wasteful number, since it uses less digits than its factorization.

212224044448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33078 (or 33070 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 37.

The spelling of 212224044448 in words is "two hundred twelve billion, two hundred twenty-four million, forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 151 206 208 302 412 416 604 824 1208 1339 1648 1963 2416 2678 3296 3926 4832 5356 7852 10712 15553 15704 21424 31106 31408 32801 42848 62212 62816 65602 124424 131204 202189 248848 262408 404378 426413 497696 524816 808756 852826 1049632 1617512 1705652 3235024 3378503 3411304 4952951 6470048 6757006 6822608 9905902 13514012 13645216 19811804 27028024 39623608 43920539 54056048 64388363 79247216 87841078 108112096 128776726 158494432 175682156 257553452 351364312 510153953 515106904 702728624 1020307906 1030213808 1405457248 2040615812 2060427616 4081231624 6632001389 8162463248 13264002778 16324926496 26528005556 53056011112 106112022224 212224044448