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200429022249 = 3279218892
BaseRepresentation
bin1011101010101010000…
…0000010110000101001
3201011100020120021101100
42322222200002300221
511240434312202444
6232024213312013
720323550402511
oct2725240026051
9634306507340
10200429022249
1178001a59a45
1232a17335609
1315b921826b1
1499b507c841
155330e6be69
hex2eaa802c29

200429022249 has 27 divisors (see below), whose sum is σ = 293374948503. Its totient is φ = 131858123904.

The previous prime is 200429022229. The next prime is 200429022361. The reversal of 200429022249 is 942220924002.

The square root of 200429022249 is 447693.

It is a perfect power (a square), and thus also a powerful number.

200429022249 is a `hidden beast` number, since 2 + 0 + 0 + 429 + 0 + 2 + 224 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96538839849 + 103890182400 = 310707^2 + 322320^2 .

It is not a de Polignac number, because 200429022249 - 211 = 200429020201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200429022229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106102297 + ... + 106104185.

Almost surely, 2200429022249 is an apocalyptic number.

200429022249 is the 447693-rd square number.

200429022249 is the 223847-th centered octagonal number.

It is an amenable number.

200429022249 is a deficient number, since it is larger than the sum of its proper divisors (92945926254).

200429022249 is an frugal number, since it uses more digits than its factorization.

200429022249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 200429022249 by its sum of digits (36), we get a square (7215444800964 = 26861582).

The spelling of 200429022249 in words is "two hundred billion, four hundred twenty-nine million, twenty-two thousand, two hundred forty-nine".

Divisors: 1 3 9 79 237 711 1889 5667 6241 17001 18723 56169 149231 447693 1343079 3568321 10704963 11789249 32114889 35367747 106103241 281897359 845692077 2537076231 22269891361 66809674083 200429022249