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232233034031040 = 2635743803685749
BaseRepresentation
bin110100110011011011110111…
…011111111001111111000000
31010110021021001102211000001010
4310303123313133321333000
5220414401223202443130
62141530214421440520
766626166035055360
oct6463336737717700
91113237042730033
10232233034031040
1167aa6527453889
1222068399270140
139c776340b4993
14414c1d2cd09a0
151bcadaa45b0b0
hexd336f77f9fc0

232233034031040 has 224 divisors, whose sum is σ = 862271226432000. Its totient is φ = 51847374974976.

The previous prime is 232233034031017. The next prime is 232233034031057. The reversal of 232233034031040 is 40130430332232.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232233034030989 and 232233034031007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401553915 + ... + 402131834.

It is an arithmetic number, because the mean of its divisors is an integer number (3849425118000).

Almost surely, 2232233034031040 is an apocalyptic number.

232233034031040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232233034031040 is an abundant number, since it is smaller than the sum of its proper divisors (630038192400960).

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

232233034031040 is a wasteful number, since it uses less digits than its factorization.

232233034031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803685819 (or 803685809 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 232233034031040 its reverse (40130430332232), we get a palindrome (272363464363272).

The spelling of 232233034031040 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, thirty-four million, thirty-one thousand, forty".