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3223282212112 = 24312580136137
BaseRepresentation
bin101110111001111010100…
…101110101110100010000
3102102010212002010212202211
4232321322211311310100
5410302240221241422
610504431100121504
7451605636513364
oct56717245656420
912363762125684
103223282212112
111032a93861496
1244083a836294
131a4c5351b741
14b20171692a4
1558ca1b71577
hex2ee7a975d10

3223282212112 has 60 divisors (see below), whose sum is σ = 6454353985308. Its totient is φ = 1559340672000.

The previous prime is 3223282212107. The next prime is 3223282212121. The reversal of 3223282212112 is 2112122823223.

It can be written as a sum of positive squares in 2 ways, for example, as 2713320550656 + 509961661456 = 1647216^2 + 714116^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

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 11 ways as a sum of consecutive naturals, for example, 89178108 + ... + 89214244.

Almost surely, 23223282212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223282212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227176992654).

3223282212112 is an abundant number, since it is smaller than the sum of its proper divisors (3231071773196).

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

3223282212112 is a wasteful number, since it uses less digits than its factorization.

3223282212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42008 (or 41971 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The spelling of 3223282212112 in words is "three trillion, two hundred twenty-three billion, two hundred eighty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 5801 7688 11602 15376 23204 36137 46408 72274 92816 144548 179831 289096 359662 578192 719324 1120247 1438648 2240494 2877296 4480988 5574761 8961976 11149522 17923952 22299044 34727657 44598088 69455314 89196176 138910628 209630737 277821256 419261474 555642512 838522948 1677045896 3354091792 6498552847 12997105694 25994211388 51988422776 103976845552 201455138257 402910276514 805820553028 1611641106056 3223282212112