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2230201213020 = 223251137182316699
BaseRepresentation
bin100000011101000010010…
…110011110000001011100
321220012112120001010012200
4200131002112132001130
5243014423002304040
64424312411531500
7320061315346554
oct40350226360134
97805476033180
102230201213020
1178a906497370
12300289a59b90
131323cb838aa1
1479d299d6164
153d02ca74630
hex2074259e05c

2230201213020 has 288 divisors, whose sum is σ = 7584008140800. Its totient is φ = 525722503680.

The previous prime is 2230201212997. The next prime is 2230201213043. The reversal of 2230201213020 is 203121020322.

2230201213020 is a `hidden beast` number, since 2 + 230 + 201 + 213 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2230201212997) and next prime (2230201213043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2230201212984 and 2230201213002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133544631 + ... + 133561329.

It is an arithmetic number, because the mean of its divisors is an integer number (26333361600).

Almost surely, 22230201213020 is an apocalyptic number.

2230201213020 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 2230201213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792004070400).

2230201213020 is an abundant number, since it is smaller than the sum of its proper divisors (5353806927780).

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

2230201213020 is a wasteful number, since it uses less digits than its factorization.

2230201213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18585 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2230201213020 its reverse (203121020322), we get a palindrome (2433322233342).

The spelling of 2230201213020 in words is "two trillion, two hundred thirty billion, two hundred one million, two hundred thirteen thousand, twenty".