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20228736 = 273114789
BaseRepresentation
bin100110100101…
…0101010000000
31102001201121110
41031022222000
520134304421
62001323320
7333640623
oct115125200
942051543
1020228736
1110467170
126936540
134263588
142987dba
151b98a76
hex134aa80

20228736 has 64 divisors (see below), whose sum is σ = 58629600. Its totient is φ = 6128640.

The previous prime is 20228729. The next prime is 20228737. The reversal of 20228736 is 63782202.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20228737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830 + ... + 6618.

Almost surely, 220228736 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 20228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29314800).

20228736 is an abundant number, since it is smaller than the sum of its proper divisors (38400864).

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

20228736 is a wasteful number, since it uses less digits than its factorization.

20228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20228736 is about 4497.6367127637. The cubic root of 20228736 is about 272.4726499498.

The spelling of 20228736 in words is "twenty million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4789 9578 14367 19156 28734 38312 52679 57468 76624 105358 114936 153248 158037 210716 229872 306496 316074 421432 459744 612992 632148 842864 919488 1264296 1685728 1838976 2528592 3371456 5057184 6742912 10114368 20228736