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223086010680 = 233451337433329
BaseRepresentation
bin1100111111000011110…
…1100110000100111000
3210022211020200112120000
43033300331212010320
512123340004320210
6250252335233000
722055164542411
oct3176075460470
9708736615500
10223086010680
1186679267775
123729b078760
1318063164520
14ab2419c808
155c0a0c3ac0
hex33f0f66138

223086010680 has 640 divisors, whose sum is σ = 848860689600. Its totient is φ = 52171112448.

The previous prime is 223086010673. The next prime is 223086010681. The reversal of 223086010680 is 86010680322.

It is a super-3 number, since 3×2230860106803 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (223086010681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67011256 + ... + 67014584.

Almost surely, 2223086010680 is an apocalyptic number.

223086010680 is a gapful number since it is divisible by the number (20) 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 223086010680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424430344800).

223086010680 is an abundant number, since it is smaller than the sum of its proper divisors (625774678920).

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

223086010680 is a wasteful number, since it uses less digits than its factorization.

223086010680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 223086010680 in words is "two hundred twenty-three billion, eighty-six million, ten thousand, six hundred eighty".