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233775380 = 22529403061
BaseRepresentation
bin11011110111100…
…10000100010100
3121021220000112102
431323302010110
5434321303010
635110341232
75536025606
oct1573620424
9537800472
10233775380
1110aa619a3
126635a818
1339581837
1423095176
15157cbba5
hexdef2114

233775380 has 24 divisors (see below), whose sum is σ = 507858120. Its totient is φ = 90285440.

The previous prime is 233775379. The next prime is 233775383. The reversal of 233775380 is 83577332.

233775380 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78074896 + 155700484 = 8836^2 + 12478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233775383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200951 + ... + 202110.

It is an arithmetic number, because the mean of its divisors is an integer number (21160755).

Almost surely, 2233775380 is an apocalyptic number.

233775380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233775380 is an abundant number, since it is smaller than the sum of its proper divisors (274082740).

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

233775380 is a wasteful number, since it uses less digits than its factorization.

233775380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403099 (or 403097 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 233775380 is about 15289.7148436457. The cubic root of 233775380 is about 616.0267775226.

The spelling of 233775380 in words is "two hundred thirty-three million, seven hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 403061 806122 1612244 2015305 4030610 8061220 11688769 23377538 46755076 58443845 116887690 233775380