Search a number
-
+
201481472 = 2819231801
BaseRepresentation
bin11000000001001…
…01110100000000
3112001010022121202
430000211310000
5403034401342
631554240332
74664364353
oct1400456400
9461108552
10201481472
11a3805015
12575860a8
133298570a
141ca8a29a
1512a4d332
hexc025d00

201481472 has 72 divisors (see below), whose sum is σ = 441994560. Its totient is φ = 91238400.

The previous prime is 201481459. The next prime is 201481477. The reversal of 201481472 is 274184102.

201481472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201481477) 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, 110972 + ... + 112772.

Almost surely, 2201481472 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 201481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220997280).

201481472 is an abundant number, since it is smaller than the sum of its proper divisors (240513088).

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

201481472 is a wasteful number, since it uses less digits than its factorization.

201481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 201481472 is about 14194.4169306104. The cubic root of 201481472 is about 586.2439470918.

The spelling of 201481472 in words is "two hundred one million, four hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 608 736 874 1216 1472 1748 1801 2432 2944 3496 3602 4864 5888 6992 7204 13984 14408 27968 28816 34219 41423 55936 57632 68438 82846 111872 115264 136876 165692 230528 273752 331384 461056 547504 662768 787037 1095008 1325536 1574074 2190016 2651072 3148148 4380032 5302144 6296296 8760064 10604288 12592592 25185184 50370368 100740736 201481472