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322212133000230 = 2351143124933235471
BaseRepresentation
bin100100101000011001101101…
…1101110101101010000100110
31120020212011211112220220100020
41021100303123232231100212
5314213110422022001410
63101142113241500010
7124604026012665414
oct11120633356552046
91506764745826306
10322212133000230
1193737442031160
123017aa534a1606
1310aa3620b2cb55
14597d216b842b4
15273b724dd9a70
hex1250cdbbad426

322212133000230 has 256 divisors, whose sum is σ = 864337858560000. Its totient is φ = 76197516595200.

The previous prime is 322212133000223. The next prime is 322212133000249. The reversal of 322212133000230 is 32000331212223.

It is a self number, because there is not a number n which added to its sum of digits gives 322212133000230.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58894556395 + ... + 58894561865.

It is an arithmetic number, because the mean of its divisors is an integer number (3376319760000).

Almost surely, 2322212133000230 is an apocalyptic number.

322212133000230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 322212133000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432168929280000).

322212133000230 is an abundant number, since it is smaller than the sum of its proper divisors (542125725559770).

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

322212133000230 is a wasteful number, since it uses less digits than its factorization.

322212133000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 322212133000230 its reverse (32000331212223), we get a palindrome (354212464212453).

The spelling of 322212133000230 in words is "three hundred twenty-two trillion, two hundred twelve billion, one hundred thirty-three million, two hundred thirty", and thus it is an aban number.