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232233595332228 = 223374327132633207
BaseRepresentation
bin110100110011011100011000…
…111101000110011010000100
31010110021022111120000001112000
4310303130120331012122010
5220414403400401112403
62141530350232225300
766626215662046110
oct6463343075063204
91113238446001460
10232233595332228
1167aa679527a766
122206851523b230
139c776c3481069
14414c247682740
151bcadde8827a3
hexd33718f46684

232233595332228 has 192 divisors, whose sum is σ = 704361653022720. Its totient is φ = 64785462384384.

The previous prime is 232233595332223. The next prime is 232233595332229. The reversal of 232233595332228 is 822233595332232.

232233595332228 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 3 + 3 + 595 + 3 + 3 + 22 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (232233595332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86877601 + ... + 89510807.

It is an arithmetic number, because the mean of its divisors is an integer number (3668550276160).

Almost surely, 2232233595332228 is an apocalyptic number.

232233595332228 is a gapful number since it is divisible by the number (28) 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 232233595332228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352180826511360).

232233595332228 is an abundant number, since it is smaller than the sum of its proper divisors (472128057690492).

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

232233595332228 is a wasteful number, since it uses less digits than its factorization.

232233595332228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635983 (or 2635975 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 232233595332228 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, five hundred ninety-five million, three hundred thirty-two thousand, two hundred twenty-eight".