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233214113220 = 2235115967711259
BaseRepresentation
bin1101100100110010100…
…1001111010111000100
3211021222002111110022220
43121030221033113010
512310110303110340
6255045335452340
722564156153224
oct3311451172704
9737862443286
10233214113220
118a9a6318050
1239246b270b0
1318cb85548ca
14b40534a084
1560ee337ed0
hex364ca4f5c4

233214113220 has 384 divisors, whose sum is σ = 746197401600. Its totient is φ = 53934988800.

The previous prime is 233214113213. The next prime is 233214113269. The reversal of 233214113220 is 22311412332.

233214113220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 185236951 + ... + 185238209.

It is an arithmetic number, because the mean of its divisors is an integer number (1943222400).

Almost surely, 2233214113220 is an apocalyptic number.

233214113220 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 233214113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373098700800).

233214113220 is an abundant number, since it is smaller than the sum of its proper divisors (512983288380).

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

233214113220 is a wasteful number, since it uses less digits than its factorization.

233214113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233214113220 its reverse (22311412332), we get a palindrome (255525525552).

The spelling of 233214113220 in words is "two hundred thirty-three billion, two hundred fourteen million, one hundred thirteen thousand, two hundred twenty".