Search a number
-
+
223956540 = 223251244203
BaseRepresentation
bin11010101100101…
…00111000111100
3120121102011121200
431112110320330
5424313102130
634120055500
75356412343
oct1526247074
9517364550
10223956540
11105465955
1263004590
1337524582
1421a5ab5a
15149dc760
hexd594e3c

223956540 has 36 divisors (see below), whose sum is σ = 679335384. Its totient is φ = 59721696.

The previous prime is 223956533. The next prime is 223956541. The reversal of 223956540 is 45659322.

223956540 is a `hidden beast` number, since 2 + 23 + 95 + 6 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223956495 and 223956504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223956541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621922 + ... + 622281.

Almost surely, 2223956540 is an apocalyptic number.

223956540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223956540 is an abundant number, since it is smaller than the sum of its proper divisors (455378844).

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

223956540 is a wasteful number, since it uses less digits than its factorization.

223956540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244218 (or 1244213 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 223956540 is about 14965.1775799688. The cubic root of 223956540 is about 607.2785150024.

The spelling of 223956540 in words is "two hundred twenty-three million, nine hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1244203 2488406 3732609 4976812 6221015 7465218 11197827 12442030 14930436 18663045 22395654 24884060 37326090 44791308 55989135 74652180 111978270 223956540