Search a number
-
+
223525872 = 24333116691
BaseRepresentation
bin11010101001010…
…11101111110000
3120120121021212000
431110223233300
5424210311442
634102534000
75352636633
oct1524535760
9516537760
10223525872
111051a1329
1262a37300
133740353b
1421987c1a
1514954d4c
hexd52bbf0

223525872 has 80 divisors (see below), whose sum is σ = 662338560. Its totient is φ = 72100800.

The previous prime is 223525871. The next prime is 223525873. The reversal of 223525872 is 278525322.

It is a happy number.

223525872 is a `hidden beast` number, since 2 + 23 + 52 + 587 + 2 = 666.

223525872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223525871) and next prime (223525873).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223525871) 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, 5047 + ... + 21737.

It is an arithmetic number, because the mean of its divisors is an integer number (8279232).

Almost surely, 2223525872 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 223525872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331169280).

223525872 is an abundant number, since it is smaller than the sum of its proper divisors (438812688).

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

223525872 is a wasteful number, since it uses less digits than its factorization.

223525872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739 (or 16727 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 223525872 is about 14950.7816518067. The cubic root of 223525872 is about 606.8890000741.

It can be divided in two parts, 22352 and 5872, that added together give a square (28224 = 1682).

The spelling of 223525872 in words is "two hundred twenty-three million, five hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 16691 33382 50073 66764 100146 133528 150219 200292 267056 300438 400584 450657 517421 600876 801168 901314 1034842 1201752 1552263 1802628 2069684 2403504 3104526 3605256 4139368 4656789 6209052 7210512 8278736 9313578 12418104 13970367 18627156 24836208 27940734 37254312 55881468 74508624 111762936 223525872