Search a number
-
+
201863340 = 22345722543
BaseRepresentation
bin11000000100000…
…11000010101100
3112001211201110000
430002003002230
5403134111330
632010344300
75000544600
oct1402030254
9461751400
10201863340
11a3a45a08
125772b090
1332a8a483
141cb49500
1512ac6560
hexc0830ac

201863340 has 180 divisors, whose sum is σ = 736930656. Its totient is φ = 46122048.

The previous prime is 201863267. The next prime is 201863369. The reversal of 201863340 is 43368102.

It is a happy number.

201863340 is a `hidden beast` number, since 20 + 1 + 8 + 633 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 78109 + ... + 80651.

Almost surely, 2201863340 is an apocalyptic number.

201863340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201863340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368465328).

201863340 is an abundant number, since it is smaller than the sum of its proper divisors (535067316).

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

201863340 is a wasteful number, since it uses less digits than its factorization.

201863340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201863340 is about 14207.8619081127. The cubic root of 201863340 is about 586.6140828960.

The spelling of 201863340 in words is "two hundred one million, eight hundred sixty-three thousand, three hundred forty".