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201229056 = 283374159
BaseRepresentation
bin10111111111010…
…00001100000000
3112000122111101000
423333220030000
5403003312211
631545012000
74662263430
oct1377501400
9460574330
10201229056
11a3652406
1257484000
13328c7862
141ca222c0
15129ed656
hexbfe8300

201229056 has 144 divisors (see below), whose sum is σ = 680243200. Its totient is φ = 57480192.

The previous prime is 201229027. The next prime is 201229079. The reversal of 201229056 is 650922102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2012290562 = 80986265957302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46305 + ... + 50463.

Almost surely, 2201229056 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 201229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340121600).

201229056 is an abundant number, since it is smaller than the sum of its proper divisors (479014144).

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

201229056 is an equidigital number, since it uses as much as digits as its factorization.

201229056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 201229056 is about 14185.5227608996. The cubic root of 201229056 is about 585.9990293018. Note that the first 3 decimals are identical.

The spelling of 201229056 in words is "two hundred one million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 4159 5376 6048 6912 8064 8318 12096 12477 16128 16636 24192 24954 29113 33272 37431 48384 49908 58226 66544 74862 87339 99816 112293 116452 133088 149724 174678 199632 224586 232904 262017 266176 299448 349356 399264 449172 465808 524034 532352 598896 698712 786051 798528 898344 931616 1048068 1064704 1197792 1397424 1572102 1597056 1796688 1863232 2096136 2395584 2794848 3144204 3194112 3593376 3726464 4192272 4791168 5589696 6288408 7186752 7452928 8384544 9582336 11179392 12576816 14373504 16769088 22358784 25153632 28747008 33538176 50307264 67076352 100614528 201229056