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233145224020 = 225257364312451
BaseRepresentation
bin1101100100100010001…
…0011100101101010100
3211021210021212112010001
43121020202130231110
512304440134132040
6255034435141044
722562361464122
oct3311042345524
9737707775101
10233145224020
118a970445625
1239227a44784
1318ca71b4877
14b3da136912
1560e827b59a
hex364889cb54

233145224020 has 48 divisors (see below), whose sum is σ = 491684453568. Its totient is φ = 92862259200.

The previous prime is 233145223999. The next prime is 233145224029. The reversal of 233145224020 is 20422541332.

It is a self number, because there is not a number n which added to its sum of digits gives 233145224020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233145224029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18718795 + ... + 18731245.

It is an arithmetic number, because the mean of its divisors is an integer number (10243426116).

Almost surely, 2233145224020 is an apocalyptic number.

233145224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233145224020 is an abundant number, since it is smaller than the sum of its proper divisors (258539229548).

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

233145224020 is a wasteful number, since it uses less digits than its factorization.

233145224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360 (or 16358 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 233145224020 its reverse (20422541332), we get a palindrome (253567765352).

The spelling of 233145224020 in words is "two hundred thirty-three billion, one hundred forty-five million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 3643 5140 7286 12451 14572 18215 24902 36430 49804 62255 72860 124510 249020 936251 1872502 3199907 3745004 4681255 6399814 9362510 12799628 15999535 18725020 31999070 45358993 63998140 90717986 181435972 226794965 453589930 907179860 11657261201 23314522402 46629044804 58286306005 116572612010 233145224020