Search a number
-
+
201200004 = 223312714669
BaseRepresentation
bin10111111111000…
…01000110000100
3112000121000112000
423333201012010
5403001400004
631544225300
74662112635
oct1377410604
9460530460
10201200004
11a36325a5
125746b230
13328b7575
141ca1588c
15129e4c39
hexbfe1184

201200004 has 48 divisors (see below), whose sum is σ = 525772800. Its totient is φ = 66534048.

The previous prime is 201199963. The next prime is 201200009. The reversal of 201200004 is 400002102.

201200004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201200009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6382 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (10953600).

Almost surely, 2201200004 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 201200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262886400).

201200004 is an abundant number, since it is smaller than the sum of its proper divisors (324572796).

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

201200004 is a wasteful number, since it uses less digits than its factorization.

201200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14809 (or 14801 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201200004 is about 14184.4987221967. The cubic root of 201200004 is about 585.9708271732.

Adding to 201200004 its reverse (400002102), we get a palindrome (601202106).

The spelling of 201200004 in words is "two hundred one million, two hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2286 3429 4572 6858 13716 14669 29338 44007 58676 88014 132021 176028 264042 396063 528084 792126 1584252 1862963 3725926 5588889 7451852 11177778 16766667 22355556 33533334 50300001 67066668 100600002 201200004