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223082496 = 21132721319
BaseRepresentation
bin11010100101111…
…11100000000000
3120112202202122200
431102333200000
5424102114441
634045233200
75346112200
oct1522774000
9515682580
10223082496
11104a191aa
1262862800
13372a97a0
14218b0400
15148b87b6
hexd4bf800

223082496 has 432 divisors, whose sum is σ = 849630600. Its totient is φ = 55738368.

The previous prime is 223082467. The next prime is 223082513. The reversal of 223082496 is 694280322.

It is a super-3 number, since 3×2230824963 (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223082496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741175 + ... + 11741193.

Almost surely, 2223082496 is an apocalyptic number.

223082496 is a gapful number since it is divisible by the number (26) 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 223082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424815300).

223082496 is an abundant number, since it is smaller than the sum of its proper divisors (626548104).

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

223082496 is a wasteful number, since it uses less digits than its factorization.

223082496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 223082496 is about 14935.9464380400. The cubic root of 223082496 is about 606.4874684409.

The spelling of 223082496 in words is "two hundred twenty-three million, eighty-two thousand, four hundred ninety-six".