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230122002210000 = 2435443533365833
BaseRepresentation
bin110100010100101101110100…
…001100100101110011010000
31010011210110010000000020022220
4310110231310030211303100
5220130304330031210000
62133232331031301040
766320523511464255
oct6424556414456320
91104713100006286
10230122002210000
1167362213a8552a
1221987228b1a780
139b53547654724
1440b7d701c942c
151b910049bb1a0
hexd14b74325cd0

230122002210000 has 400 divisors, whose sum is σ = 774482927080896. Its totient is φ = 58807816704000.

The previous prime is 230122002209989. The next prime is 230122002210007. The reversal of 230122002210000 is 12200221032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2301220022100002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122002210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66687084 + ... + 70052916.

Almost surely, 2230122002210000 is an apocalyptic number.

230122002210000 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 230122002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387241463540448).

230122002210000 is an abundant number, since it is smaller than the sum of its proper divisors (544360924870896).

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

230122002210000 is a wasteful number, since it uses less digits than its factorization.

230122002210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365960 (or 3365939 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 230122002210000 its reverse (12200221032), we get a palindrome (230134202431032).

The spelling of 230122002210000 in words is "two hundred thirty trillion, one hundred twenty-two billion, two million, two hundred ten thousand".