Search a number
-
+
22333248 = 2632729191
BaseRepresentation
bin101010100110…
…0011101000000
31120000122110100
41111030131000
521204130443
62114402400
7360554340
oct125143500
946018410
1022333248
1111674333
127590400
13481c452
142d74d20
151e623d3
hex154c740

22333248 has 168 divisors, whose sum is σ = 76078080. Its totient is φ = 6128640.

The previous prime is 22333231. The next prime is 22333261. The reversal of 22333248 is 84233322.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116833 + ... + 117023.

Almost surely, 222333248 is an apocalyptic number.

22333248 is a gapful number since it is divisible by the number (28) 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 22333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039040).

22333248 is an abundant number, since it is smaller than the sum of its proper divisors (53744832).

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

22333248 is a wasteful number, since it uses less digits than its factorization.

22333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 22333248 is about 4725.8065978201. The cubic root of 22333248 is about 281.6116580057.

The spelling of 22333248 in words is "twenty-two million, three hundred thirty-three thousand, two hundred forty-eight".