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201050144 = 2561127811
BaseRepresentation
bin10111111101111…
…00100000100000
3112000022101221122
423332330200200
5402432101034
631541111412
74660620011
oct1376744040
9460271848
10201050144
11a353aa49
12573b8568
13328642a9
141c9b7008
15129b562e
hexbfbc820

201050144 has 48 divisors (see below), whose sum is σ = 405974016. Its totient is φ = 97977600.

The previous prime is 201050137. The next prime is 201050167. The reversal of 201050144 is 441050102.

201050144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247499 + ... + 248309.

It is an arithmetic number, because the mean of its divisors is an integer number (8457792).

Almost surely, 2201050144 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 201050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202987008).

201050144 is an abundant number, since it is smaller than the sum of its proper divisors (204923872).

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

201050144 is a wasteful number, since it uses less digits than its factorization.

201050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 201050144 is about 14179.2152110052. The cubic root of 201050144 is about 585.8253079592.

The spelling of 201050144 in words is "two hundred one million, fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 127 244 254 488 508 811 976 1016 1622 1952 2032 3244 4064 6488 7747 12976 15494 25952 30988 49471 61976 98942 102997 123952 197884 205994 247904 395768 411988 791536 823976 1583072 1647952 3295904 6282817 12565634 25131268 50262536 100525072 201050144