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241332232020 = 2235112353793797
BaseRepresentation
bin1110000011000010000…
…1011001111101010100
3212001220212011121202120
43200300201121331110
512423222022411040
6302511055135540
723302303061115
oct3406041317524
9761825147676
10241332232020
1193391831940
123a9318145b0
13199b03b35b9
14b9755a020c
156426db67d0
hex3830859f54

241332232020 has 384 divisors, whose sum is σ = 793853706240. Its totient is φ = 54195947520.

The previous prime is 241332231989. The next prime is 241332232061. The reversal of 241332232020 is 20232233142.

It is a super-2 number, since 2×2413322320202 (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 63556762 + ... + 63560558.

It is an arithmetic number, because the mean of its divisors is an integer number (2067327360).

Almost surely, 2241332232020 is an apocalyptic number.

241332232020 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 241332232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396926853120).

241332232020 is an abundant number, since it is smaller than the sum of its proper divisors (552521474220).

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

241332232020 is a wasteful number, since it uses less digits than its factorization.

241332232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 241332232020 its reverse (20232233142), we get a palindrome (261564465162).

The spelling of 241332232020 in words is "two hundred forty-one billion, three hundred thirty-two million, two hundred thirty-two thousand, twenty".