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20229664 = 257136947
BaseRepresentation
bin100110100101…
…0111000100000
31102001202212211
41031022320200
520134322124
62001331504
7333643420
oct115127040
942052784
1020229664
1110467934
126936b94
134263b20
142988480
151b98e94
hex134ae20

20229664 has 48 divisors (see below), whose sum is σ = 49025088. Its totient is φ = 8001792.

The previous prime is 20229653. The next prime is 20229667. The reversal of 20229664 is 46692202.

It is not an unprimeable number, because it can be changed into a prime (20229667) 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, 562 + ... + 6385.

It is an arithmetic number, because the mean of its divisors is an integer number (1021356).

Almost surely, 220229664 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 20229664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512544).

20229664 is an abundant number, since it is smaller than the sum of its proper divisors (28795424).

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

20229664 is a wasteful number, since it uses less digits than its factorization.

20229664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6977 (or 6969 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 20229664 is about 4497.7398768715. The cubic root of 20229664 is about 272.4768164773.

The spelling of 20229664 in words is "twenty million, two hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 6947 13894 27788 48629 55576 90311 97258 111152 180622 194516 222304 361244 389032 632177 722488 778064 1264354 1444976 1556128 2528708 2889952 5057416 10114832 20229664