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2232010320330 = 2357103367479587
BaseRepresentation
bin100000011110101110001…
…011101010100111001010
321220101012122012021220010
4200132232023222213022
5243032124120222310
64425212115212350
7320154203455110
oct40365613524712
97811178167803
102232010320330
1179065470147a
123006b38a70b6
1313262959729b
147a05bd9dab0
153d0d67cb320
hex207ae2ea9ca

2232010320330 has 256 divisors, whose sum is σ = 6221888225280. Its totient is φ = 501935609088.

The previous prime is 2232010320329. The next prime is 2232010320347. The reversal of 2232010320330 is 330230102322.

2232010320330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22320103203303 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2232010320297 and 2232010320306.

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, 3802402297 + ... + 3802402883.

It is an arithmetic number, because the mean of its divisors is an integer number (24304250880).

Almost surely, 22232010320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232010320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110944112640).

2232010320330 is an abundant number, since it is smaller than the sum of its proper divisors (3989877904950).

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

2232010320330 is a wasteful number, since it uses less digits than its factorization.

2232010320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2232010320330 its reverse (330230102322), we get a palindrome (2562240422652).

The spelling of 2232010320330 in words is "two trillion, two hundred thirty-two billion, ten million, three hundred twenty thousand, three hundred thirty".