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223136881344 = 2632133176327
BaseRepresentation
bin1100111111001111111…
…1101001101011000000
3210022221210102000222200
43033303333221223000
512123441020200334
6250301353433200
722056353124366
oct3176377515300
9708853360880
10223136881344
11866a4a52643
12372b410b800
1318070866000
14ab2ac41636
155c0e7c1799
hex33f3fe9ac0

223136881344 has 168 divisors, whose sum is σ = 692859716640. Its totient is φ = 68657112576.

The previous prime is 223136881337. The next prime is 223136881393. The reversal of 223136881344 is 443188631322.

223136881344 is a `hidden beast` number, since 2 + 231 + 368 + 8 + 13 + 44 = 666.

It is a super-3 number, since 3×2231368813443 (a number of 35 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 223136881344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1177309 + ... + 1353635.

It is an arithmetic number, because the mean of its divisors is an integer number (4124164980).

Almost surely, 2223136881344 is an apocalyptic number.

223136881344 is a gapful number since it is divisible by the number (24) 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 223136881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346429858320).

223136881344 is an abundant number, since it is smaller than the sum of its proper divisors (469722835296).

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

223136881344 is a wasteful number, since it uses less digits than its factorization.

223136881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176384 (or 176345 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 223136881344 in words is "two hundred twenty-three billion, one hundred thirty-six million, eight hundred eighty-one thousand, three hundred forty-four".