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201121992 = 233219791861
BaseRepresentation
bin10111111110011…
…10000011001000
3112000110001111200
423333032003020
5402441400432
631542424200
74661336331
oct1377160310
9460401450
10201121992
11a3589a25
1257432060
133288abc6
141c9d5288
15129cba7c
hexbfce0c8

201121992 has 96 divisors (see below), whose sum is σ = 580944000. Its totient is φ = 62674560.

The previous prime is 201121981. The next prime is 201121993. The reversal of 201121992 is 299121102.

It is not an unprimeable number, because it can be changed into a prime (201121993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107142 + ... + 109002.

It is an arithmetic number, because the mean of its divisors is an integer number (6051500).

Almost surely, 2201121992 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 201121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290472000).

201121992 is an abundant number, since it is smaller than the sum of its proper divisors (379822008).

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

201121992 is a wasteful number, since it uses less digits than its factorization.

201121992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 201121992 is about 14181.7485522766. The cubic root of 201121992 is about 585.8950838586.

The spelling of 201121992 in words is "two hundred one million, one hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 152 158 171 228 237 316 342 456 474 632 684 711 948 1368 1422 1501 1861 1896 2844 3002 3722 4503 5583 5688 6004 7444 9006 11166 12008 13509 14888 16749 18012 22332 27018 33498 35359 36024 44664 54036 66996 70718 106077 108072 133992 141436 147019 212154 282872 294038 318231 424308 441057 588076 636462 848616 882114 1176152 1272924 1323171 1764228 2545848 2646342 2793361 3528456 5292684 5586722 8380083 10585368 11173444 16760166 22346888 25140249 33520332 50280498 67040664 100560996 201121992