Search a number
-
+
88224 = 253919
BaseRepresentation
bin10101100010100000
311111000120
4111202200
510310344
61520240
7515133
oct254240
9144016
1088224
1160314
1243080
1331206
142421a
151b219
hex158a0

88224 has 24 divisors (see below), whose sum is σ = 231840. Its totient is φ = 29376.

The previous prime is 88223. The next prime is 88237. The reversal of 88224 is 42288.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 88194 and 88203.

It is not an unprimeable number, because it can be changed into a prime (88223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 364 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (9660).

288224 is an apocalyptic number.

It is an amenable number.

88224 is an abundant number, since it is smaller than the sum of its proper divisors (143616).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115920).

88224 is a wasteful number, since it uses less digits than its factorization.

88224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 88224 is about 297.0252514518. The cubic root of 88224 is about 44.5173101028.

The spelling of 88224 in words is "eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 919 1838 2757 3676 5514 7352 11028 14704 22056 29408 44112 88224