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233022020220 = 2232511217761827
BaseRepresentation
bin1101100100000100110…
…0011101101001111100
3211021110201001010021100
43121001030131221330
512304212114121340
6255014314333100
722556334330303
oct3310114355174
9737421033240
10233022020220
118a907945800
12391b272a190
1318c87808602
14b3c7a2543a
1560dc541830
hex364131da7c

233022020220 has 432 divisors, whose sum is σ = 824711588064. Its totient is φ = 53033164800.

The previous prime is 233022020213. The next prime is 233022020221. The reversal of 233022020220 is 22020220332.

233022020220 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 a junction number, because it is equal to n+sod(n) for n = 233022020193 and 233022020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233022020221) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 281767447 + ... + 281768273.

It is an arithmetic number, because the mean of its divisors is an integer number (1909054602).

Almost surely, 2233022020220 is an apocalyptic number.

233022020220 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 233022020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412355794032).

233022020220 is an abundant number, since it is smaller than the sum of its proper divisors (591689567844).

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

233022020220 is a wasteful number, since it uses less digits than its factorization.

233022020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 233022020220 its reverse (22020220332), we get a palindrome (255042240552).

The spelling of 233022020220 in words is "two hundred thirty-three billion, twenty-two million, twenty thousand, two hundred twenty".