Search a number
-
+
221320240 = 24510132731
BaseRepresentation
bin11010011000100…
…01010000110000
3120102110020021221
431030101100300
5423124221430
633543354424
75325122341
oct1514212060
9512406257
10221320240
11103a25199
1262152a14
1336b1062b
14215720c8
151466b57a
hexd311430

221320240 has 40 divisors (see below), whose sum is σ = 515266128. Its totient is φ = 88408320.

The previous prime is 221320223. The next prime is 221320243. The reversal of 221320240 is 42023122.

221320240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221320243) 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, 79675 + ... + 82405.

Almost surely, 2221320240 is an apocalyptic number.

221320240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221320240 is an abundant number, since it is smaller than the sum of its proper divisors (293945888).

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

221320240 is a wasteful number, since it uses less digits than its factorization.

221320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 221320240 is about 14876.8356850508. The cubic root of 221320240 is about 604.8862477665.

Adding to 221320240 its reverse (42023122), we get a palindrome (263343362).

The spelling of 221320240 in words is "two hundred twenty-one million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1013 2026 2731 4052 5065 5462 8104 10130 10924 13655 16208 20260 21848 27310 40520 43696 54620 81040 109240 218480 2766503 5533006 11066012 13832515 22132024 27665030 44264048 55330060 110660120 221320240