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235470821040 = 243357213533229
BaseRepresentation
bin1101101101001100100…
…1111001011010110000
3211111210100220002111000
43123103021321122300
512324221012233130
6300101312522000
723004120645300
oct3332311713260
9744710802430
10235470821040
119095415a034
1239776850300
1319287c4c890
14b57ad49600
1561d2507260
hex36d32796b0

235470821040 has 960 divisors, whose sum is σ = 1035552470400. Its totient is φ = 48729268224.

The previous prime is 235470820997. The next prime is 235470821051. The reversal of 235470821040 is 40128074532.

It is a happy number.

235470821040 is a `hidden beast` number, since 2 + 3 + 5 + 470 + 82 + 104 + 0 = 666.

It is a super-2 number, since 2×2354708210402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 235470820986 and 235470821004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72922146 + ... + 72925374.

It is an arithmetic number, because the mean of its divisors is an integer number (1078700490).

Almost surely, 2235470821040 is an apocalyptic number.

235470821040 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 235470821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517776235200).

235470821040 is an abundant number, since it is smaller than the sum of its proper divisors (800081649360).

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

235470821040 is a wasteful number, since it uses less digits than its factorization.

235470821040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 235470821040 its reverse (40128074532), we get a palindrome (275598895572).

The spelling of 235470821040 in words is "two hundred thirty-five billion, four hundred seventy million, eight hundred twenty-one thousand, forty".