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220212013323000 = 233533116071473473
BaseRepresentation
bin110010000100100000011010…
…110101000101001011111000
31001212201001200211120021210110
4302010200122311011023320
5212330423200402314000
62100204000300544320
764245535656006636
oct6204403265051370
91055631624507713
10220212013323000
11641914326729a6
12208466918520a0
1395b4b9970c81a
143c5446564c356
151a6d346d9c850
hexc8481ad452f8

220212013323000 has 256 divisors, whose sum is σ = 709666571427840. Its totient is φ = 56793504768000.

The previous prime is 220212013322921. The next prime is 220212013323013. The reversal of 220212013323000 is 323310212022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148714264 + ... + 150187736.

It is an arithmetic number, because the mean of its divisors is an integer number (2772135044640).

Almost surely, 2220212013323000 is an apocalyptic number.

220212013323000 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 220212013323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354833285713920).

220212013323000 is an abundant number, since it is smaller than the sum of its proper divisors (489454558104840).

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

220212013323000 is a wasteful number, since it uses less digits than its factorization.

220212013323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475135 (or 1475121 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220212013323000 its reverse (323310212022), we get a palindrome (220535323535022).

The spelling of 220212013323000 in words is "two hundred twenty trillion, two hundred twelve billion, thirteen million, three hundred twenty-three thousand".