Search a number
-
+
201223440 = 2435511941
BaseRepresentation
bin10111111111001…
…10110100010000
3112000122012200000
423333212310100
5403003122230
631544530000
74662241155
oct1377466420
9460565600
10201223440
11a3649170
1257480900
13328c5132
141ca2022c
15129ebb60
hexbfe6d10

201223440 has 240 divisors, whose sum is σ = 765326016. Its totient is φ = 48729600.

The previous prime is 201223439. The next prime is 201223487. The reversal of 201223440 is 44322102.

201223440 is a `hidden beast` number, since 2 + 0 + 1 + 223 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213370 + ... + 214310.

Almost surely, 2201223440 is an apocalyptic number.

201223440 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 201223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382663008).

201223440 is an abundant number, since it is smaller than the sum of its proper divisors (564102576).

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

201223440 is a wasteful number, since it uses less digits than its factorization.

201223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201223440 is about 14185.3248112266. The cubic root of 201223440 is about 585.9935778008.

Adding to 201223440 its reverse (44322102), we get a palindrome (245545542).

It can be divided in two parts, 2012 and 23440, that added together give a palindrome (25452).

The spelling of 201223440 in words is "two hundred one million, two hundred twenty-three thousand, four hundred forty".