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12233023040 = 2657101139389
BaseRepresentation
bin10110110010010010…
…10001111001000000
31011120112120221212102
423121021101321000
5200023123214130
65341512045532
7612100660130
oct133111217100
934515527772
1012233023040
11520824a2a7
1224549938a8
1311cc511a94
14840958ac0
154b8e4e645
hex2d9251e40

12233023040 has 224 divisors, whose sum is σ = 33949843200. Its totient is φ = 4112179200.

The previous prime is 12233023039. The next prime is 12233023051. The reversal of 12233023040 is 4032033221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31447166 + ... + 31447554.

It is an arithmetic number, because the mean of its divisors is an integer number (151561800).

Almost surely, 212233023040 is an apocalyptic number.

12233023040 is a gapful number since it is divisible by the number (10) 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 12233023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974921600).

12233023040 is an abundant number, since it is smaller than the sum of its proper divisors (21716820160).

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

12233023040 is a wasteful number, since it uses less digits than its factorization.

12233023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12233023040 its reverse (4032033221), we get a palindrome (16265056261).

The spelling of 12233023040 in words is "twelve billion, two hundred thirty-three million, twenty-three thousand, forty".