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223020120330 = 23257193141107137
BaseRepresentation
bin1100111110110100001…
…0001111100100001010
3210022122122200221222200
43033231002033210022
512123221122322310
6250242023101030
722053434513310
oct3175502174412
9708578627880
10223020120330
1186645053337
1237280ba1776
1318052604457
14ab1952a0b0
155c0440a9c0
hex33ed08f90a

223020120330 has 768 divisors, whose sum is σ = 749959741440. Its totient is φ = 44839526400.

The previous prime is 223020120329. The next prime is 223020120343. The reversal of 223020120330 is 33021020322.

It is a happy number.

223020120330 is a `hidden beast` number, since 2 + 230 + 201 + 203 + 30 = 666.

223020120330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1627884022 + ... + 1627884158.

It is an arithmetic number, because the mean of its divisors is an integer number (976510080).

Almost surely, 2223020120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223020120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374979870720).

223020120330 is an abundant number, since it is smaller than the sum of its proper divisors (526939621110).

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

223020120330 is a wasteful number, since it uses less digits than its factorization.

223020120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223020120330 its reverse (33021020322), we get a palindrome (256041140652).

The spelling of 223020120330 in words is "two hundred twenty-three billion, twenty million, one hundred twenty thousand, three hundred thirty".