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233509007380 = 225117913435501
BaseRepresentation
bin1101100101111000111…
…0001011000000010100
3211022201122101122001211
43121132032023000110
512311211301214010
6255134512231204
722604366546035
oct3313616130024
9738648348054
10233509007380
1190037824430
123930983b504
13190346856ac
14b432590a8c
15611a18908a
hex365e38b014

233509007380 has 48 divisors (see below), whose sum is σ = 541719440640. Its totient is φ = 83837520000.

The previous prime is 233509007341. The next prime is 233509007569. The reversal of 233509007380 is 83700905332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6700371 + ... + 6735130.

It is an arithmetic number, because the mean of its divisors is an integer number (11285821680).

Almost surely, 2233509007380 is an apocalyptic number.

233509007380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233509007380 is an abundant number, since it is smaller than the sum of its proper divisors (308210433260).

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

233509007380 is a wasteful number, since it uses less digits than its factorization.

233509007380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13435600 (or 13435598 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 233509007380 in words is "two hundred thirty-three billion, five hundred nine million, seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 13435501 26871002 53742004 67177505 134355010 147790511 268710020 295581022 591162044 738952555 1061404579 1477905110 2122809158 2955810220 4245618316 5307022895 10614045790 11675450369 21228091580 23350900738 46701801476 58377251845 116754503690 233509007380