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235513980 = 223451353211
BaseRepresentation
bin11100000100110…
…10100001111100
3121102011100110000
432002122201330
5440242421410
635211514300
75556556452
oct1602324174
9542140400
10235513980
11110a3a159
1266a58990
1339a3ccb0
14233c89d2
1515a21dc0
hexe09a87c

235513980 has 240 divisors, whose sum is σ = 814502304. Its totient is φ = 56609280.

The previous prime is 235513979. The next prime is 235514009. The reversal of 235513980 is 89315532.

235513980 is a `hidden beast` number, since 23 + 551 + 3 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1116075 + ... + 1116285.

Almost surely, 2235513980 is an apocalyptic number.

235513980 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 235513980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407251152).

235513980 is an abundant number, since it is smaller than the sum of its proper divisors (578988324).

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

235513980 is a wasteful number, since it uses less digits than its factorization.

235513980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 235513980 is about 15346.4647394766. The cubic root of 235513980 is about 617.5501486369.

The spelling of 235513980 in words is "two hundred thirty-five million, five hundred thirteen thousand, nine hundred eighty".